104717824 has 80 divisors (see below), whose sum is σ = 226713168. Its totient is φ = 48136192.

The previous prime is 104717801. The next prime is 104717839. The reversal of 104717824 is 428717401.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 104717824.

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 7 ways as a sum of consecutive naturals, for example, 461199 + ... + 461425.

Almost surely, 2^104717824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104717824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113356584).

104717824 is an abundant number, since it is smaller than the sum of its proper divisors (121995344).

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

104717824 is an equidigital number, since it uses as much as digits as its factorization.

104717824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 104717824 is about 10233.1727240382. The cubic root of 104717824 is about 471.3464093641.

The spelling of 104717824 in words is "one hundred four million, seven hundred seventeen thousand, eight hundred twenty-four".