10038800 has 30 divisors (see below), whose sum is σ = 24119178. Its totient is φ = 4015360.

The previous prime is 10038799. The next prime is 10038817. The reversal of 10038800 is 883001.

It can be written as a sum of positive squares in 3 ways, for example, as 204304 + 9834496 = 452^2 + 3136^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12149 + ... + 12948.

Almost surely, 2^10038800 is an apocalyptic number.

10038800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10038800 is an abundant number, since it is smaller than the sum of its proper divisors (14080378).

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

10038800 is a wasteful number, since it uses less digits than its factorization.

10038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25115 (or 25104 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10038800 is about 3168.4065395716. The cubic root of 10038800 is about 215.7217496232.

The spelling of 10038800 in words is "ten million, thirty-eight thousand, eight hundred".