104701298688 has 288 divisors, whose sum is σ = 356757972480. Its totient is φ = 28948561920.

The previous prime is 104701298659. The next prime is 104701298699. The reversal of 104701298688 is 886892107401.

104701298688 is a `hidden beast` number, since 1 + 0 + 470 + 1 + 2 + 98 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3986656 + ... + 4012832.

It is an arithmetic number, because the mean of its divisors is an integer number (1238742960).

Almost surely, 2^104701298688 is an apocalyptic number.

104701298688 is a gapful number since it is divisible by the number (18) 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 104701298688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178378986240).

104701298688 is an abundant number, since it is smaller than the sum of its proper divisors (252056673792).

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

104701298688 is a wasteful number, since it uses less digits than its factorization.

104701298688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26243 (or 26220 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 104701298688 in words is "one hundred four billion, seven hundred one million, two hundred ninety-eight thousand, six hundred eighty-eight".