10012900 has 18 divisors (see below), whose sum is σ = 21728210. Its totient is φ = 4005120.

The previous prime is 10012879. The next prime is 10012901. The reversal of 10012900 is 921001.

It can be written as a sum of positive squares in 3 ways, for example, as 128164 + 9884736 = 358^2 + 3144^2 .

It is not an unprimeable number, because it can be changed into a prime (10012901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49965 + ... + 50164.

Almost surely, 2^10012900 is an apocalyptic number.

10012900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012900 is an abundant number, since it is smaller than the sum of its proper divisors (11715310).

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

10012900 is a wasteful number, since it uses less digits than its factorization.

10012900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100143 (or 100136 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 10012900 is about 3164.3166718898. The cubic root of 10012900 is about 215.5360698879.

Adding to 10012900 its reverse (921001), we get a palindrome (10933901).

The spelling of 10012900 in words is "ten million, twelve thousand, nine hundred".