104979168000 has 1296 divisors, whose sum is σ = 452236520736. Its totient is φ = 23301734400.

The previous prime is 104979167863. The next prime is 104979168013. The reversal of 104979168000 is 861979401.

It is a happy number.

104979168000 is a `hidden beast` number, since 10 + 497 + 91 + 68 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×104979168000² (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 143 ways as a sum of consecutive naturals, for example, 606815914 + ... + 606816086.

Almost surely, 2^104979168000 is an apocalyptic number.

104979168000 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 104979168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226118260368).

104979168000 is an abundant number, since it is smaller than the sum of its proper divisors (347257352736).

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

104979168000 is a wasteful number, since it uses less digits than its factorization.

104979168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 104979168000 in words is "one hundred four billion, nine hundred seventy-nine million, one hundred sixty-eight thousand".