104959238400 has 432 divisors, whose sum is σ = 387209800320. Its totient is φ = 27819417600.

The previous prime is 104959238393. The next prime is 104959238453. The reversal of 104959238400 is 4832959401.

104959238400 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 5 + 9 + 238 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×104959238400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29892645 + ... + 29896155.

Almost surely, 2^104959238400 is an apocalyptic number.

104959238400 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 104959238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193604900160).

104959238400 is an abundant number, since it is smaller than the sum of its proper divisors (282250561920).

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

104959238400 is a wasteful number, since it uses less digits than its factorization.

104959238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 104959238400 in words is "one hundred four billion, nine hundred fifty-nine million, two hundred thirty-eight thousand, four hundred".