57105568 has 24 divisors (see below), whose sum is σ = 121075668. Its totient is φ = 26356224.

The previous prime is 57105547. The next prime is 57105571. The reversal of 57105568 is 86550175.

57105568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 56731024 + 374544 = 7532^2 + 612^2 .

It is a super-2 number, since 2×57105568² = 6522091793205248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68221 + ... + 69052.

Almost surely, 2^57105568 is an apocalyptic number.

It is an amenable number.

57105568 is an abundant number, since it is smaller than the sum of its proper divisors (63970100).

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

57105568 is a wasteful number, since it uses less digits than its factorization.

57105568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137296 (or 137288 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 37.

The square root of 57105568 is about 7556.8226127123. The cubic root of 57105568 is about 385.0875564063.

It can be divided in two parts, 57 and 105568, that added together give a square (105625 = 325²).

The spelling of 57105568 in words is "fifty-seven million, one hundred five thousand, five hundred sixty-eight".