104449824 has 120 divisors (see below), whose sum is σ = 312847920. Its totient is φ = 34176384.

The previous prime is 104449811. The next prime is 104449843. The reversal of 104449824 is 428944401.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152587 + ... + 153269.

It is an arithmetic number, because the mean of its divisors is an integer number (2607066).

Almost surely, 2^104449824 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 104449824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156423960).

104449824 is an abundant number, since it is smaller than the sum of its proper divisors (208398096).

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

104449824 is an equidigital number, since it uses as much as digits as its factorization.

104449824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 104449824 is about 10220.0696670815. The cubic root of 104449824 is about 470.9439667205.

The spelling of 104449824 in words is "one hundred four million, four hundred forty-nine thousand, eight hundred twenty-four".