104659251984 has 160 divisors (see below), whose sum is σ = 352606122240. Its totient is φ = 29094432768.

The previous prime is 104659251937. The next prime is 104659252007. The reversal of 104659251984 is 489152956401.

104659251984 is a `hidden beast` number, since 1 + 0 + 46 + 5 + 9 + 2 + 519 + 84 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104659251984.

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 31 ways as a sum of consecutive naturals, for example, 355809 + ... + 579584.

It is an arithmetic number, because the mean of its divisors is an integer number (2203788264).

Almost surely, 2^104659251984 is an apocalyptic number.

104659251984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104659251984 is an abundant number, since it is smaller than the sum of its proper divisors (247946870256).

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

104659251984 is a wasteful number, since it uses less digits than its factorization.

104659251984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935454 (or 935442 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 104659251984 in words is "one hundred four billion, six hundred fifty-nine million, two hundred fifty-one thousand, nine hundred eighty-four".