104431680 has 336 divisors, whose sum is σ = 399409920. Its totient is φ = 25878528.

The previous prime is 104431669. The next prime is 104431703. The reversal of 104431680 is 86134401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1321881 + ... + 1321959.

It is an arithmetic number, because the mean of its divisors is an integer number (1188720).

Almost surely, 2^104431680 is an apocalyptic number.

104431680 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 104431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

104431680 is an abundant number, since it is smaller than the sum of its proper divisors (294978240).

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

104431680 is an equidigital number, since it uses as much as digits as its factorization.

104431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104431680 is about 10219.1819633472. The cubic root of 104431680 is about 470.9166958842.

It can be divided in two parts, 104431 and 680, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 104431680 in words is "one hundred four million, four hundred thirty-one thousand, six hundred eighty".