104589408 has 96 divisors (see below), whose sum is σ = 342316800. Its totient is φ = 27164160.

The previous prime is 104589403. The next prime is 104589409. The reversal of 104589408 is 804985401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104589403) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 318 + ... + 14466.

It is an arithmetic number, because the mean of its divisors is an integer number (3565800).

Almost surely, 2^104589408 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 104589408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171158400).

104589408 is an abundant number, since it is smaller than the sum of its proper divisors (237727392).

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

104589408 is a wasteful number, since it uses less digits than its factorization.

104589408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14180 (or 14172 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 104589408 is about 10226.8963033757. The cubic root of 104589408 is about 471.1536590529.

The spelling of 104589408 in words is "one hundred four million, five hundred eighty-nine thousand, four hundred eight".