104509440 has 364 divisors, whose sum is σ = 429732624. Its totient is φ = 23887872.

The previous prime is 104509439. The next prime is 104509453. The reversal of 104509440 is 44905401.

It is a Jordan-Polya number, since it can be written as 9! ⋅ 4! ⋅ 3! ⋅ 2!.

It is a super-2 number, since 2×104509440² = 21844446098227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14929917 + ... + 14929923.

Almost surely, 2^104509440 is an apocalyptic number.

104509440 is a gapful number since it is divisible by the number (10) 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 104509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214866312).

104509440 is an abundant number, since it is smaller than the sum of its proper divisors (325223184).

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

104509440 is an frugal number, since it uses more digits than its factorization.

104509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 104509440 is about 10222.9858651961. The cubic root of 104509440 is about 471.0335486672.

The spelling of 104509440 in words is "one hundred four million, five hundred nine thousand, four hundred forty".