10012400 has 30 divisors (see below), whose sum is σ = 24055752. Its totient is φ = 4004800.

The previous prime is 10012399. The next prime is 10012403. The reversal of 10012400 is 421001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 12116 + ... + 12915.

Almost surely, 2^10012400 is an apocalyptic number.

10012400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012400 is an abundant number, since it is smaller than the sum of its proper divisors (14043352).

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

10012400 is a wasteful number, since it uses less digits than its factorization.

10012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25049 (or 25038 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10012400 is about 3164.2376649045. The cubic root of 10012400 is about 215.5324821884.

Adding to 10012400 its reverse (421001), we get a palindrome (10433401).

The spelling of 10012400 in words is "ten million, twelve thousand, four hundred".