104627792016 has 300 divisors, whose sum is σ = 334676658316. Its totient is φ = 31531991040.

The previous prime is 104627791997. The next prime is 104627792053. The reversal of 104627792016 is 610297726401.

104627792016 is a `hidden beast` number, since 1 + 0 + 4 + 627 + 7 + 9 + 2 + 0 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10196960400 + 94430831616 = 100980^2 + 307296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30263760 + ... + 30267216.

Almost surely, 2^104627792016 is an apocalyptic number.

104627792016 is a gapful number since it is divisible by the number (16) 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 104627792016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167338329158).

104627792016 is an abundant number, since it is smaller than the sum of its proper divisors (230048866300).

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

104627792016 is a wasteful number, since it uses less digits than its factorization.

104627792016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 104627792016 in words is "one hundred four billion, six hundred twenty-seven million, seven hundred ninety-two thousand, sixteen".