10557400 has 48 divisors (see below), whose sum is σ = 28056240. Its totient is φ = 3619200.

The previous prime is 10557373. The next prime is 10557409. The reversal of 10557400 is 475501.

It is a super-2 number, since 2×10557400² = 222917389520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10557409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2371 + ... + 5170.

It is an arithmetic number, because the mean of its divisors is an integer number (584505).

Almost surely, 2^10557400 is an apocalyptic number.

10557400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10557400 is an abundant number, since it is smaller than the sum of its proper divisors (17498840).

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

10557400 is a wasteful number, since it uses less digits than its factorization.

10557400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564 (or 7555 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 10557400 is about 3249.2152898815. The cubic root of 10557400 is about 219.3742549413.

The spelling of 10557400 in words is "ten million, five hundred fifty-seven thousand, four hundred".