104320640 has 128 divisors (see below), whose sum is σ = 274665600. Its totient is φ = 37711872.

The previous prime is 104320639. The next prime is 104320651. The reversal of 104320640 is 46023401.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 279494 + ... + 279866.

It is an arithmetic number, because the mean of its divisors is an integer number (2145825).

Almost surely, 2^104320640 is an apocalyptic number.

104320640 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 104320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137332800).

104320640 is an abundant number, since it is smaller than the sum of its proper divisors (170344960).

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

104320640 is a wasteful number, since it uses less digits than its factorization.

104320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 104320640 is about 10213.7475982129. The cubic root of 104320640 is about 470.7497314343.

The spelling of 104320640 in words is "one hundred four million, three hundred twenty thousand, six hundred forty".