57105720 has 384 divisors, whose sum is σ = 237219840. Its totient is φ = 11612160.

The previous prime is 57105701. The next prime is 57105733. The reversal of 57105720 is 2750175.

57105720 = T₂₁₀ + T₂₁₁ + ... + T₇₀₅.

It is a super-2 number, since 2×57105720² = 6522126513436800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1328019 + ... + 1328061.

It is an arithmetic number, because the mean of its divisors is an integer number (617760).

Almost surely, 2^57105720 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 57105720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118609920).

57105720 is an abundant number, since it is smaller than the sum of its proper divisors (180114120).

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

57105720 is a wasteful number, since it uses less digits than its factorization.

57105720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 57105720 is about 7556.8326698426. The cubic root of 57105720 is about 385.0878980732.

Adding to 57105720 its reverse (2750175), we get a palindrome (59855895).

The spelling of 57105720 in words is "fifty-seven million, one hundred five thousand, seven hundred twenty".