104936688 has 80 divisors (see below), whose sum is σ = 302436000. Its totient is φ = 34836480.

The previous prime is 104936681. The next prime is 104936701. The reversal of 104936688 is 886639401.

It is a super-2 number, since 2×104936688² = 22023416976818688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104936681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 193698 + ... + 194238.

It is an arithmetic number, because the mean of its divisors is an integer number (3780450).

Almost surely, 2^104936688 is an apocalyptic number.

104936688 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 104936688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151218000).

104936688 is an abundant number, since it is smaller than the sum of its proper divisors (197499312).

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

104936688 is a wasteful number, since it uses less digits than its factorization.

104936688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 104936688 is about 10243.8609908569. The cubic root of 104936688 is about 471.6745578112.

The spelling of 104936688 in words is "one hundred four million, nine hundred thirty-six thousand, six hundred eighty-eight".