57101600 has 72 divisors (see below), whose sum is σ = 140686308. Its totient is φ = 22630400.

The previous prime is 57101581. The next prime is 57101677. The reversal of 57101600 is 610175.

It can be written as a sum of positive squares in 6 ways, for example, as 17007376 + 40094224 = 4124^2 + 6332^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 109340 + ... + 109860.

Almost surely, 2^57101600 is an apocalyptic number.

57101600 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 57101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70343154).

57101600 is an abundant number, since it is smaller than the sum of its proper divisors (83584708).

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

57101600 is a wasteful number, since it uses less digits than its factorization.

57101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 57101600 is about 7556.5600639444. The cubic root of 57101600 is about 385.0786368860.

Adding to 57101600 its reverse (610175), we get a palindrome (57711775).

The spelling of 57101600 in words is "fifty-seven million, one hundred one thousand, six hundred".