104251680 has 144 divisors (see below), whose sum is σ = 383193720. Its totient is φ = 25657344.

The previous prime is 104251669. The next prime is 104251691. The reversal of 104251680 is 86152401.

It is an interprime number because it is at equal distance from previous prime (104251669) and next prime (104251691).

It can be written as a sum of positive squares in 4 ways, for example, as 47279376 + 56972304 = 6876^2 + 7548^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15936 + ... + 21504.

Almost surely, 2^104251680 is an apocalyptic number.

104251680 is a gapful number since it is divisible by the number (10) 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 104251680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191596860).

104251680 is an abundant number, since it is smaller than the sum of its proper divisors (278942040).

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

104251680 is a wasteful number, since it uses less digits than its factorization.

104251680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 104251680 is about 10210.3711979536. The cubic root of 104251680 is about 470.6459806099.

The spelling of 104251680 in words is "one hundred four million, two hundred fifty-one thousand, six hundred eighty".