104917044960 has 960 divisors, whose sum is σ = 482615667072. Its totient is φ = 20830224384.

The previous prime is 104917044931. The next prime is 104917044971. The reversal of 104917044960 is 69440719401.

104917044960 is a `hidden beast` number, since 1 + 0 + 4 + 91 + 70 + 4 + 496 + 0 = 666.

It is a super-2 number, since 2×104917044960² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20046504 + ... + 20051736.

Almost surely, 2^104917044960 is an apocalyptic number.

104917044960 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 104917044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241307833536).

104917044960 is an abundant number, since it is smaller than the sum of its proper divisors (377698622112).

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

104917044960 is a wasteful number, since it uses less digits than its factorization.

104917044960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 104917044960 in words is "one hundred four billion, nine hundred seventeen million, forty-four thousand, nine hundred sixty".