104008105728 has 108 divisors (see below), whose sum is σ = 310987899768. Its totient is φ = 34669347840.

The previous prime is 104008105657. The next prime is 104008105757. The reversal of 104008105728 is 827501800401.

104008105728 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 0 + 81 + 0 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104008105692 and 104008105701.

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 11 ways as a sum of consecutive naturals, for example, 773763 + ... + 898178.

Almost surely, 2^104008105728 is an apocalyptic number.

104008105728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104008105728 is an abundant number, since it is smaller than the sum of its proper divisors (206979794040).

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

104008105728 is an frugal number, since it uses more digits than its factorization.

104008105728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671972 (or 1671946 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 104008105728 in words is "one hundred four billion, eight million, one hundred five thousand, seven hundred twenty-eight".