57352100 has 72 divisors (see below), whose sum is σ = 135361128. Its totient is φ = 20966400.

The previous prime is 57352093. The next prime is 57352157. The reversal of 57352100 is 125375.

It can be written as a sum of positive squares in 12 ways, for example, as 26460736 + 30891364 = 5144^2 + 5558^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203960 + ... + 204240.

Almost surely, 2^57352100 is an apocalyptic number.

57352100 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 57352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67680564).

57352100 is an abundant number, since it is smaller than the sum of its proper divisors (78009028).

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

57352100 is a wasteful number, since it uses less digits than its factorization.

57352100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 57352100 is about 7573.1169276593. The cubic root of 57352100 is about 385.6409181769.

Adding to 57352100 its reverse (125375), we get a palindrome (57477475).

The spelling of 57352100 in words is "fifty-seven million, three hundred fifty-two thousand, one hundred".