104416305 has 48 divisors (see below), whose sum is σ = 204598080. Its totient is φ = 45214848.

The previous prime is 104416303. The next prime is 104416309. The reversal of 104416305 is 503614401.

It is not a de Polignac number, because 104416305 - 2¹ = 104416303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104416303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10227 + ... + 17703.

It is an arithmetic number, because the mean of its divisors is an integer number (4262460).

Almost surely, 2^104416305 is an apocalyptic number.

104416305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104416305 is a deficient number, since it is larger than the sum of its proper divisors (100181775).

104416305 is a wasteful number, since it uses less digits than its factorization.

104416305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7511 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 104416305 is about 10218.4296738785. The cubic root of 104416305 is about 470.8935844441.

The spelling of 104416305 in words is "one hundred four million, four hundred sixteen thousand, three hundred five".