104806464 has 112 divisors (see below), whose sum is σ = 327964800. Its totient is φ = 28901376.

The previous prime is 104806453. The next prime is 104806511. The reversal of 104806464 is 464608401.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37632 + ... + 40320.

Almost surely, 2^104806464 is an apocalyptic number.

104806464 is a gapful number since it is divisible by the number (14) 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 104806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163982400).

104806464 is an abundant number, since it is smaller than the sum of its proper divisors (223158336).

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

104806464 is a wasteful number, since it uses less digits than its factorization.

104806464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 104806464 is about 10237.5028205124. The cubic root of 104806464 is about 471.4793646439.

The spelling of 104806464 in words is "one hundred four million, eight hundred six thousand, four hundred sixty-four".