104319585980416 has 39 divisors (see below), whose sum is σ = 208615010513601. Its totient is φ = 52159466151936.

The previous prime is 104319585980413. The next prime is 104319585980497. The reversal of 104319585980416 is 614089585913401.

The square root of 104319585980416 is 10213696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2867955798016 + 101451630182400 = 1693504^2 + 10072320^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104319585980413) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 653596750 + ... + 653756338.

Almost surely, 2^{104319585980416} is an apocalyptic number.

104319585980416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104319585980416 is the 10213696-th square number.

It is an amenable number.

104319585980416 is a deficient number, since it is larger than the sum of its proper divisors (104295424533185).

104319585980416 is an frugal number, since it uses more digits than its factorization.

104319585980416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319202 (or 159591 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 64.

104319585980416 divided by its sum of digits (64) gives a square (1629993530944 = 1276712²).

The spelling of 104319585980416 in words is "one hundred four trillion, three hundred nineteen billion, five hundred eighty-five million, nine hundred eighty thousand, four hundred sixteen".