104629680 has 120 divisors (see below), whose sum is σ = 363570480. Its totient is φ = 26933760.

The previous prime is 104629669. The next prime is 104629697. The reversal of 104629680 is 86926401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 18375 + ... + 23385.

It is an arithmetic number, because the mean of its divisors is an integer number (3029754).

Almost surely, 2^104629680 is an apocalyptic number.

104629680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104629680 is the 8352-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104629680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181785240).

104629680 is an abundant number, since it is smaller than the sum of its proper divisors (258940800).

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

104629680 is a wasteful number, since it uses less digits than its factorization.

104629680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 104629680 is about 10228.8650396806. The cubic root of 104629680 is about 471.2141236376.

The spelling of 104629680 in words is "one hundred four million, six hundred twenty-nine thousand, six hundred eighty".