104385456 has 80 divisors (see below), whose sum is σ = 342438400. Its totient is φ = 29823552.

The previous prime is 104385451. The next prime is 104385469. The reversal of 104385456 is 654583401.

It is a happy number.

104385456 is a `hidden beast` number, since 104 + 3 + 8 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 104385456.

It is not an unprimeable number, because it can be changed into a prime (104385451) 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 15 ways as a sum of consecutive naturals, for example, 14236 + ... + 20283.

It is an arithmetic number, because the mean of its divisors is an integer number (4280480).

Almost surely, 2^104385456 is an apocalyptic number.

104385456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104385456 is an abundant number, since it is smaller than the sum of its proper divisors (238052944).

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

104385456 is a wasteful number, since it uses less digits than its factorization.

104385456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34543 (or 34531 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 104385456 is about 10216.9200838609. The cubic root of 104385456 is about 470.8472059052.

The spelling of 104385456 in words is "one hundred four million, three hundred eighty-five thousand, four hundred fifty-six".