57124100 has 54 divisors (see below), whose sum is σ = 136281642. Its totient is φ = 20768000.

The previous prime is 57124087. The next prime is 57124117. The reversal of 57124100 is 142175.

It can be written as a sum of positive squares in 3 ways, for example, as 4096576 + 53027524 = 2024^2 + 7282^2 .

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 17 ways as a sum of consecutive naturals, for example, 9740 + ... + 14460.

Almost surely, 2^57124100 is an apocalyptic number.

57124100 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 57124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68140821).

57124100 is an abundant number, since it is smaller than the sum of its proper divisors (79157542).

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

57124100 is a wasteful number, since it uses less digits than its factorization.

57124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 57124100 is about 7558.0486899728. The cubic root of 57124100 is about 385.1292083327.

Adding to 57124100 its reverse (142175), we get a palindrome (57266275).

The spelling of 57124100 in words is "fifty-seven million, one hundred twenty-four thousand, one hundred".