57164156100 has 108 divisors (see below), whose sum is σ = 179566173696. Its totient is φ = 15210740160.

The previous prime is 57164156087. The next prime is 57164156117. The reversal of 57164156100 is 165146175.

It is a happy number.

57164156100 is a `hidden beast` number, since 5 + 7 + 1 + 641 + 5 + 6 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348109 + ... + 485291.

Almost surely, 2^57164156100 is an apocalyptic number.

57164156100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57164156100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89783086848).

57164156100 is an abundant number, since it is smaller than the sum of its proper divisors (122402017596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57164156100 is a wasteful number, since it uses less digits than its factorization.

57164156100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137666 (or 137656 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 57164156100 in words is "fifty-seven billion, one hundred sixty-four million, one hundred fifty-six thousand, one hundred".