104599680 has 128 divisors (see below), whose sum is σ = 336502080. Its totient is φ = 27635712.

The previous prime is 104599667. The next prime is 104599681. The reversal of 104599680 is 86995401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×104599680³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (104599681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301267 + ... + 301613.

Almost surely, 2^104599680 is an apocalyptic number.

104599680 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 104599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168251040).

104599680 is an abundant number, since it is smaller than the sum of its proper divisors (231902400).

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

104599680 is a wasteful number, since it uses less digits than its factorization.

104599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 104599680 is about 10227.3984961964. The cubic root of 104599680 is about 471.1690829601.

The spelling of 104599680 in words is "one hundred four million, five hundred ninety-nine thousand, six hundred eighty".