57080100 has 216 divisors, whose sum is σ = 210174048. Its totient is φ = 11827200.

The previous prime is 57080069. The next prime is 57080117. The reversal of 57080100 is 108075.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161524 + ... + 161876.

It is an arithmetic number, because the mean of its divisors is an integer number (973028).

Almost surely, 2^57080100 is an apocalyptic number.

57080100 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 57080100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105087024).

57080100 is an abundant number, since it is smaller than the sum of its proper divisors (153093948).

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

57080100 is a wasteful number, since it uses less digits than its factorization.

57080100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 57080100 is about 7555.1373250259. The cubic root of 57080100 is about 385.0303006455.

Adding to 57080100 its reverse (108075), we get a palindrome (57188175).

The spelling of 57080100 in words is "fifty-seven million, eighty thousand, one hundred".