10012800 has 192 divisors, whose sum is σ = 37944000. Its totient is φ = 2273280.

The previous prime is 10012799. The next prime is 10012811. The reversal of 10012800 is 821001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 67126 + ... + 67274.

It is an arithmetic number, because the mean of its divisors is an integer number (197625).

Almost surely, 2^10012800 is an apocalyptic number.

10012800 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 10012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972000).

10012800 is an abundant number, since it is smaller than the sum of its proper divisors (27931200).

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

10012800 is a wasteful number, since it uses less digits than its factorization.

10012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10012800 is about 3164.3008706506. The cubic root of 10012800 is about 215.5353523575.

Adding to 10012800 its reverse (821001), we get a palindrome (10833801).

The spelling of 10012800 in words is "ten million, twelve thousand, eight hundred".