10312800 has 72 divisors (see below), whose sum is σ = 33575976. Its totient is φ = 2749440.

The previous prime is 10312789. The next prime is 10312811. The reversal of 10312800 is 821301.

10312800 = 92² + 93² + ... + 316².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10312789) and next prime (10312811).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10312800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252 + ... + 4548.

It is an arithmetic number, because the mean of its divisors is an integer number (466333).

Almost surely, 2^10312800 is an apocalyptic number.

10312800 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 10312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16787988).

10312800 is an abundant number, since it is smaller than the sum of its proper divisors (23263176).

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

10312800 is a wasteful number, since it uses less digits than its factorization.

10312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10312800 is about 3211.3548542632. The cubic root of 10312800 is about 217.6668029468. Note that the first 3 decimals are identical.

The spelling of 10312800 in words is "ten million, three hundred twelve thousand, eight hundred".