57103200 has 432 divisors, whose sum is σ = 253483776. Its totient is φ = 11750400.

The previous prime is 57103199. The next prime is 57103213. The reversal of 57103200 is 230175.

57103200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 554349 + ... + 554451.

It is an arithmetic number, because the mean of its divisors is an integer number (586768).

Almost surely, 2^57103200 is an apocalyptic number.

57103200 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 57103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126741888).

57103200 is an abundant number, since it is smaller than the sum of its proper divisors (196380576).

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

57103200 is a wasteful number, since it uses less digits than its factorization.

57103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 57103200 is about 7556.6659314806. The cubic root of 57103200 is about 385.0822335165.

Adding to 57103200 its reverse (230175), we get a palindrome (57333375).

The spelling of 57103200 in words is "fifty-seven million, one hundred three thousand, two hundred".