104409144 has 96 divisors (see below), whose sum is σ = 337259520. Its totient is φ = 28531008.

The previous prime is 104409139. The next prime is 104409157. The reversal of 104409144 is 441904401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7089 + ... + 16095.

It is an arithmetic number, because the mean of its divisors is an integer number (3513120).

Almost surely, 2^104409144 is an apocalyptic number.

104409144 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 104409144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168629760).

104409144 is an abundant number, since it is smaller than the sum of its proper divisors (232850376).

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

104409144 is a wasteful number, since it uses less digits than its factorization.

104409144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9049 (or 9042 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104409144 is about 10218.0792715657. The cubic root of 104409144 is about 470.8828193756.

The spelling of 104409144 in words is "one hundred four million, four hundred nine thousand, one hundred forty-four".