104775984 has 80 divisors (see below), whose sum is σ = 301989600. Its totient is φ = 34781184.

The previous prime is 104775977. The next prime is 104775997. The reversal of 104775984 is 489577401.

It is a happy number.

104775984 is a `hidden beast` number, since 10 + 47 + 7 + 598 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176392 + ... + 176984.

It is an arithmetic number, because the mean of its divisors is an integer number (3774870).

Almost surely, 2^104775984 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 104775984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150994800).

104775984 is an abundant number, since it is smaller than the sum of its proper divisors (197213616).

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

104775984 is a wasteful number, since it uses less digits than its factorization.

104775984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1007 counting only the distinct ones).

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

The square root of 104775984 is about 10236.0140679856. The cubic root of 104775984 is about 471.4336547268.

It can be divided in two parts, 10477 and 5984, that added together give a palindrome (16461).

The spelling of 104775984 in words is "one hundred four million, seven hundred seventy-five thousand, nine hundred eighty-four".