10204344400 has 120 divisors (see below), whose sum is σ = 25785921024. Its totient is φ = 3875289600.

The previous prime is 10204344391. The next prime is 10204344439. The reversal of 10204344400 is 444340201.

It is a super-2 number, since 2×10204344400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649437 + ... + 664963.

Almost surely, 2^10204344400 is an apocalyptic number.

10204344400 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 10204344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12892960512).

10204344400 is an abundant number, since it is smaller than the sum of its proper divisors (15581576624).

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

10204344400 is a wasteful number, since it uses less digits than its factorization.

10204344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15629 (or 15618 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 10204344400 its reverse (444340201), we get a palindrome (10648684601).

The spelling of 10204344400 in words is "ten billion, two hundred four million, three hundred forty-four thousand, four hundred".