104757984 has 144 divisors (see below), whose sum is σ = 310761360. Its totient is φ = 33454080.

The previous prime is 104757977. The next prime is 104757997. The reversal of 104757984 is 489757401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177012 + ... + 1177100.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 2^104757984 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 104757984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155380680).

104757984 is an abundant number, since it is smaller than the sum of its proper divisors (206003376).

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

104757984 is a wasteful number, since it uses less digits than its factorization.

104757984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 104757984 is about 10235.1347817212. The cubic root of 104757984 is about 471.4066565177.

The spelling of 104757984 in words is "one hundred four million, seven hundred fifty-seven thousand, nine hundred eighty-four".