10104514400 has 144 divisors (see below), whose sum is σ = 26213634720. Its totient is φ = 3790233600.

The previous prime is 10104514391. The next prime is 10104514499. The reversal of 10104514400 is 441540101.

It is a super-2 number, since 2×10104514400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4228406 + ... + 4230794.

It is an arithmetic number, because the mean of its divisors is an integer number (182039130).

Almost surely, 2^10104514400 is an apocalyptic number.

10104514400 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 10104514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106817360).

10104514400 is an abundant number, since it is smaller than the sum of its proper divisors (16109120320).

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

10104514400 is a wasteful number, since it uses less digits than its factorization.

10104514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 10104514400 in words is "ten billion, one hundred four million, five hundred fourteen thousand, four hundred".