10510400 has 42 divisors (see below), whose sum is σ = 25866090. Its totient is φ = 4203520.

The previous prime is 10510399. The next prime is 10510411. The reversal of 10510400 is 401501.

It can be written as a sum of positive squares in 3 ways, for example, as 2262016 + 8248384 = 1504^2 + 2872^2 .

It is a super-2 number, since 2×10510400² = 220937016320000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1685 + ... + 4884.

Almost surely, 2^10510400 is an apocalyptic number.

10510400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10510400 is an abundant number, since it is smaller than the sum of its proper divisors (15355690).

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

10510400 is an equidigital number, since it uses as much as digits as its factorization.

10510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 10510400 is about 3241.9747068723. The cubic root of 10510400 is about 219.0482299620.

Adding to 10510400 its reverse (401501), we get a palindrome (10911901).

The spelling of 10510400 in words is "ten million, five hundred ten thousand, four hundred".