57105684 has 36 divisors (see below), whose sum is σ = 144848704. Its totient is φ = 18969552.

The previous prime is 57105679. The next prime is 57105701. The reversal of 57105684 is 48650175.

57105684 is a `hidden beast` number, since 571 + 0 + 5 + 6 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×57105684² = 6522118290215712, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8469 + ... + 13635.

Almost surely, 2^57105684 is an apocalyptic number.

It is an amenable number.

57105684 is an abundant number, since it is smaller than the sum of its proper divisors (87743020).

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

57105684 is a wasteful number, since it uses less digits than its factorization.

57105684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484 (or 5479 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 57105684 is about 7556.8302878919. The cubic root of 57105684 is about 385.0878171522.

The spelling of 57105684 in words is "fifty-seven million, one hundred five thousand, six hundred eighty-four".