104666688 has 224 divisors, whose sum is σ = 373075200. Its totient is φ = 28090368.

The previous prime is 104666677. The next prime is 104666693. The reversal of 104666688 is 886666401.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 205378 + ... + 205886.

Almost surely, 2^104666688 is an apocalyptic number.

104666688 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 104666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186537600).

104666688 is an abundant number, since it is smaller than the sum of its proper divisors (268408512).

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

104666688 is a wasteful number, since it uses less digits than its factorization.

104666688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 104666688 is about 10230.6738780982. The cubic root of 104666688 is about 471.2696739576.

The spelling of 104666688 in words is "one hundred four million, six hundred sixty-six thousand, six hundred eighty-eight".