10057300 has 72 divisors (see below), whose sum is σ = 24498432. Its totient is φ = 3552000.

The previous prime is 10057297. The next prime is 10057301. The reversal of 10057300 is 375001.

10057300 = T₂₆₅ + T₂₆₆ + ... + T₄₂₈.

10057300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10057300² = 202298566580000, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44989 + ... + 45211.

It is an arithmetic number, because the mean of its divisors is an integer number (340256).

Almost surely, 2^10057300 is an apocalyptic number.

10057300 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 10057300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249216).

10057300 is an abundant number, since it is smaller than the sum of its proper divisors (14441132).

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

10057300 is a wasteful number, since it uses less digits than its factorization.

10057300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 10057300 is about 3171.3246443718. The cubic root of 10057300 is about 215.8541825621.

The spelling of 10057300 in words is "ten million, fifty-seven thousand, three hundred".