10520800 has 36 divisors (see below), whose sum is σ = 25685856. Its totient is φ = 4208000.

The previous prime is 10520791. The next prime is 10520837. The reversal of 10520800 is 802501.

It is a happy number.

It is a super-2 number, since 2×10520800² = 221374465280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5776 + ... + 7375.

It is an arithmetic number, because the mean of its divisors is an integer number (713496).

Almost surely, 2^10520800 is an apocalyptic number.

10520800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10520800 is an abundant number, since it is smaller than the sum of its proper divisors (15165056).

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

10520800 is a wasteful number, since it uses less digits than its factorization.

10520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13171 (or 13158 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 10520800 is about 3243.5782709841. The cubic root of 10520800 is about 219.1204552694.

The spelling of 10520800 in words is "ten million, five hundred twenty thousand, eight hundred".