100508057 has 8 divisors (see below), whose sum is σ = 108320520. Its totient is φ = 92707200.

The previous prime is 100508039. The next prime is 100508077. The reversal of 100508057 is 750805001.

It can be written as a sum of positive squares in 4 ways, for example, as 12823561 + 87684496 = 3581^2 + 9364^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100508057 - 2⁶ = 100507993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100508027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25307 + ... + 29007.

It is an arithmetic number, because the mean of its divisors is an integer number (13540065).

Almost surely, 2^100508057 is an apocalyptic number.

It is an amenable number.

100508057 is a deficient number, since it is larger than the sum of its proper divisors (7812463).

100508057 is a wasteful number, since it uses less digits than its factorization.

100508057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5803.

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 100508057 is about 10025.3706664642. The cubic root of 100508057 is about 464.9436197878.

The spelling of 100508057 in words is "one hundred million, five hundred eight thousand, fifty-seven".