104907839589900 has 216 divisors, whose sum is σ = 334420566807600. Its totient is φ = 27499667136000.

The previous prime is 104907839589893. The next prime is 104907839589923. The reversal of 104907839589900 is 9985938709401.

104907839589900 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 0 + 7 + 8 + 39 + 589 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×104907839589900² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1120416286 + ... + 1120509914.

It is an arithmetic number, because the mean of its divisors is an integer number (1548243364850).

Almost surely, 2^{104907839589900} is an apocalyptic number.

104907839589900 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 104907839589900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167210283403800).

104907839589900 is an abundant number, since it is smaller than the sum of its proper divisors (229512727217700).

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

104907839589900 is a wasteful number, since it uses less digits than its factorization.

104907839589900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114809 (or 114799 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 104907839589900 in words is "one hundred four trillion, nine hundred seven billion, eight hundred thirty-nine million, five hundred eighty-nine thousand, nine hundred".