105372 (number)
105,372 (one hundred five thousand three hundred seventytwo) is an even sixdigits composite number following 105371 and preceding 105373. In scientific notation, it is written as 1.05372 × 10^{5}. The sum of its digits is 18. It has a total of 5 prime factors and 18 positive divisors. There are 35,112 positive integers (up to 105372) that are relatively prime to 105372.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 6
 Sum of Digits 18
 Digital Root 9
Name
Short name  105 thousand 372 

Full name  one hundred five thousand three hundred seventytwo 
Notation
Scientific notation  1.05372 × 10^{5} 

Engineering notation  105.372 × 10^{3} 
Prime Factorization of 105372
Prime Factorization 2^{2} × 3^{2} × 2927
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  5  Total number of prime factors 
rad(n)  Radical  17562  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  0  Returns:

Λ(n)  Mangoldt function  0  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 105,372 is 2^{2} × 3^{2} × 2927. Since it has a total of 5 prime factors, 105,372 is a composite number.
Divisors of 105372
18 divisors
τ(n)  Total Divisors  18  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  266448  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  161076  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  14802.666  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  324.61053587338  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  7.1184471266442  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 105,372 can be divided by 18 positive divisors (out of which 12 are even, and 6 are odd). The sum of these divisors (counting 105,372) is 266,448, the average is 148,02.,666.
Other Arithmetic Functions (n = 105372)
φ(n)  Euler Totient  35112  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  8778  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 10027  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 35,112 positive integers (less than 105,372) that are coprime with 105,372. And there are approximately 10,027 prime numbers less than or equal to 105,372.
Divisibility of 105372
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  2  0  1  4  0 
The number 105,372 is divisible by 2, 3, 4, 6 and 9.
Classification of 105372
By Arithmetic functions
 Refactorable
 Abundant
Expressible via specific sums
 Polite
 Nonhypotenuse
Base conversion (105372)
Base  System  Value 

2  Binary  11001101110011100 
3  Ternary  12100112200 
4  Quaternary  121232130 
5  Quinary  11332442 
6  Senary  2131500 
8  Octal  315634 
10  Decimal  105372 
12  Duodecimal  50b90 
16  Hexadecimal  19b9c 
20  Vigesimal  d38c 
36  Base36  29b0 
Basic calculations (n = 105372)
Multiplication
n×yn×2  210744 

n×3  316116 
n×4  421488 
n×5  526860 
Division
n÷yn÷2  52686.000 

n÷3  35124.000 
n÷4  26343.000 
n÷5  21074.400 
Exponentiation
n^{y}n^{2}  11103258384 

n^{3}  1169972542438848 
n^{4}  123282346741866291456 
n^{5}  12990507440883934863301632 
Nth Root
^{y}√n^{2}√n  324.61053587338 

^{3}√n  47.232587856499 
^{4}√n  18.016951347922 
^{5}√n  10.105203053669 
105372 as geometric shapes
Circle
Radius = nDiameter  210744 

Circumference  662071.80218813 
Area  34881914970.084 
Sphere
Radius = nVolume  4.9007695256369E+15 

Surface area  139527659880.33 
Circumference  662071.80218813 
Square
Length = nPerimeter  421488 

Area  11103258384 
Diagonal  149018.51149438 
Cube
Length = nSurface area  66619550304 

Volume  1169972542438848 
Space diagonal  182509.65769515 
Equilateral Triangle
Length = nPerimeter  316116 

Area  4807851912.6633 
Altitude  91254.828847574 
Triangular Pyramid
Length = nSurface area  19231407650.653 

Volume  1.3788258642676E+14 
Height  86035.877725516 
Cryptographic Hash Functions
md5  c34a53d73ee7b8585e0f581d26c357ea 

sha1  d3bbec412b23da17fca666ce7072bef35947ad79 
sha256  2b15accc9e372406ddf2c0e2f63142c613a7d6d31f197ed95e7735c51c157489 
sha512  67e16fed7bbf2afc536c56d89673042decc9bf37d7199733b905d070faf8abe61aad7d20101aa50d2fb2a6fddea30d5f3d4daafaed64489e1d92935367301204 
ripemd160  c1654a96e6f397801d714c8923f30febc225dc15 