10316800 has 132 divisors (see below), whose sum is σ = 28428736. Its totient is φ = 3686400.

The previous prime is 10316777. The next prime is 10316843. The reversal of 10316800 is 861301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332785 + ... + 332815.

Almost surely, 2^10316800 is an apocalyptic number.

10316800 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 10316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14214368).

10316800 is an abundant number, since it is smaller than the sum of its proper divisors (18111936).

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

10316800 is a wasteful number, since it uses less digits than its factorization.

10316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10316800 is about 3211.9775839816. The cubic root of 10316800 is about 217.6949412690.

Adding to 10316800 its product of nonzero digits (144), we get a square (10316944 = 3212²).

The spelling of 10316800 in words is "ten million, three hundred sixteen thousand, eight hundred".