10504800 has 108 divisors (see below), whose sum is σ = 37067940. Its totient is φ = 2799360.

The previous prime is 10504789. The next prime is 10504817. The reversal of 10504800 is 840501.

It is a super-2 number, since 2×10504800² = 220701646080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 6471 + ... + 7929.

Almost surely, 2^10504800 is an apocalyptic number.

10504800 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 10504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533970).

10504800 is an abundant number, since it is smaller than the sum of its proper divisors (26563140).

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

10504800 is a wasteful number, since it uses less digits than its factorization.

10504800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10504800 is about 3241.1109206567. The cubic root of 10504800 is about 219.0093196759.

The spelling of 10504800 in words is "ten million, five hundred four thousand, eight hundred".