10057200 has 180 divisors, whose sum is σ = 35403240. Its totient is φ = 2437120.

The previous prime is 10057189. The next prime is 10057207. The reversal of 10057200 is 275001.

It is a happy number.

It is a super-2 number, since 2×10057200² = 202294543680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10057200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 346786 + ... + 346814.

Almost surely, 2^10057200 is an apocalyptic number.

10057200 is a gapful number since it is divisible by the number (10) 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 10057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17701620).

10057200 is an abundant number, since it is smaller than the sum of its proper divisors (25346040).

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

10057200 is a wasteful number, since it uses less digits than its factorization.

10057200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 10057200 is about 3171.3088780502. The cubic root of 10057200 is about 215.8534671451.

The spelling of 10057200 in words is "ten million, fifty-seven thousand, two hundred".