104357680 has 80 divisors (see below), whose sum is σ = 278625024. Its totient is φ = 35608320.

The previous prime is 104357651. The next prime is 104357681. The reversal of 104357680 is 86753401.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (104357681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185079 + ... + 185641.

Almost surely, 2^104357680 is an apocalyptic number.

104357680 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 104357680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139312512).

104357680 is an abundant number, since it is smaller than the sum of its proper divisors (174267344).

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

104357680 is a wasteful number, since it uses less digits than its factorization.

104357680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 104357680 is about 10215.5606796690. The cubic root of 104357680 is about 470.8054395114.

The spelling of 104357680 in words is "one hundred four million, three hundred fifty-seven thousand, six hundred eighty".