104311680 has 192 divisors, whose sum is σ = 366282000. Its totient is φ = 25231360.

The previous prime is 104311639. The next prime is 104311681. The reversal of 104311680 is 86113401.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104311680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104311681) 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 23 ways as a sum of consecutive naturals, for example, 232096 + ... + 232544.

Almost surely, 2^104311680 is an apocalyptic number.

104311680 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 104311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183141000).

104311680 is an abundant number, since it is smaller than the sum of its proper divisors (261970320).

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

104311680 is a wasteful number, since it uses less digits than its factorization.

104311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 104311680 is about 10213.3089642877. The cubic root of 104311680 is about 470.7362536337.

The spelling of 104311680 in words is "one hundred four million, three hundred eleven thousand, six hundred eighty".