104128983504 has 360 divisors, whose sum is σ = 384291966240. Its totient is φ = 26016754176.

The previous prime is 104128983493. The next prime is 104128983551. The reversal of 104128983504 is 405389821401.

104128983504 is a `hidden beast` number, since 1 + 0 + 41 + 28 + 9 + 83 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104128983504.

It is a congruent number.

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, 1712959 + ... + 1772705.

It is an arithmetic number, because the mean of its divisors is an integer number (1067477684).

Almost surely, 2^104128983504 is an apocalyptic number.

104128983504 is a gapful number since it is divisible by the number (14) 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 104128983504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192145983120).

104128983504 is an abundant number, since it is smaller than the sum of its proper divisors (280162982736).

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

104128983504 is a wasteful number, since it uses less digits than its factorization.

104128983504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59807 (or 59791 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 104128983504 in words is "one hundred four billion, one hundred twenty-eight million, nine hundred eighty-three thousand, five hundred four".