57319104 has 84 divisors (see below), whose sum is σ = 161258504. Its totient is φ = 17965056.

The previous prime is 57319099. The next prime is 57319111. The reversal of 57319104 is 40191375.

57319104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 54972 + ... + 56004.

Almost surely, 2^57319104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80629252).

57319104 is an abundant number, since it is smaller than the sum of its proper divisors (103939400).

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

57319104 is a wasteful number, since it uses less digits than its factorization.

57319104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 57319104 is about 7570.9381188859. The cubic root of 57319104 is about 385.5669479197.

The spelling of 57319104 in words is "fifty-seven million, three hundred nineteen thousand, one hundred four".