104998872024 has 192 divisors, whose sum is σ = 304725808800. Its totient is φ = 33489676800.

The previous prime is 104998872007. The next prime is 104998872031. The reversal of 104998872024 is 420278899401.

104998872024 is a `hidden beast` number, since 1 + 0 + 499 + 88 + 72 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×104998872024² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18035034 + ... + 18040854.

Almost surely, 2^104998872024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104998872024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152362904400).

104998872024 is an abundant number, since it is smaller than the sum of its proper divisors (199726936776).

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

104998872024 is a wasteful number, since it uses less digits than its factorization.

104998872024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5971 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 104998872024 in words is "one hundred four billion, nine hundred ninety-eight million, eight hundred seventy-two thousand, twenty-four".