100608057 has 24 divisors (see below), whose sum is σ = 167862240. Its totient is φ = 57386880.

The previous prime is 100608043. The next prime is 100608077. The reversal of 100608057 is 750806001.

100608057 is a `hidden beast` number, since 1 + 0 + 0 + 608 + 0 + 57 = 666.

It is not a de Polignac number, because 100608057 - 2⁴ = 100608041 is a prime.

It is a super-2 number, since 2×100608057² = 20243962266630498, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100608057.

It is not an unprimeable number, because it can be changed into a prime (100608017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28207 + ... + 31572.

It is an arithmetic number, because the mean of its divisors is an integer number (6994260).

Almost surely, 2^100608057 is an apocalyptic number.

100608057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100608057 is a deficient number, since it is larger than the sum of its proper divisors (67254183).

100608057 is a wasteful number, since it uses less digits than its factorization.

100608057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59813 (or 59810 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 100608057 is about 10030.3567733157. The cubic root of 100608057 is about 465.0977664705.

The spelling of 100608057 in words is "one hundred million, six hundred eight thousand, fifty-seven".