57164107 has 16 divisors (see below), whose sum is σ = 76753152. Its totient is φ = 41116320.

The previous prime is 57164099. The next prime is 57164113. The reversal of 57164107 is 70146175.

It is not a de Polignac number, because 57164107 - 2³ = 57164099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57164147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27553 + ... + 29554.

It is an arithmetic number, because the mean of its divisors is an integer number (4797072).

Almost surely, 2^57164107 is an apocalyptic number.

57164107 is a deficient number, since it is larger than the sum of its proper divisors (19589045).

57164107 is a wasteful number, since it uses less digits than its factorization.

57164107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57138.

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 57164107 is about 7560.6948754728. The cubic root of 57164107 is about 385.2190960722.

The spelling of 57164107 in words is "fifty-seven million, one hundred sixty-four thousand, one hundred seven".