104113202400 has 648 divisors, whose sum is σ = 389665497312. Its totient is φ = 26141184000.

The previous prime is 104113202371. The next prime is 104113202411. The reversal of 104113202400 is 4202311401.

104113202400 is a `hidden beast` number, since 10 + 41 + 13 + 202 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 283687017 + ... + 283687383.

It is an arithmetic number, because the mean of its divisors is an integer number (601335644).

Almost surely, 2^104113202400 is an apocalyptic number.

104113202400 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 104113202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194832748656).

104113202400 is an abundant number, since it is smaller than the sum of its proper divisors (285552294912).

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

104113202400 is a wasteful number, since it uses less digits than its factorization.

104113202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 104113202400 its reverse (4202311401), we get a palindrome (108315513801).

The spelling of 104113202400 in words is "one hundred four billion, one hundred thirteen million, two hundred two thousand, four hundred".