104488384 has 168 divisors, whose sum is σ = 284579568. Its totient is φ = 37416960.

The previous prime is 104488369. The next prime is 104488399. The reversal of 104488384 is 483884401.

It is an interprime number because it is at equal distance from previous prime (104488369) and next prime (104488399).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 448332 + ... + 448564.

It is an arithmetic number, because the mean of its divisors is an integer number (1693926).

Almost surely, 2^104488384 is an apocalyptic number.

104488384 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 104488384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142289784).

104488384 is an abundant number, since it is smaller than the sum of its proper divisors (180091184).

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

104488384 is a wasteful number, since it uses less digits than its factorization.

104488384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 104488384 is about 10221.9559772091. The cubic root of 104488384 is about 471.0019127736.

The spelling of 104488384 in words is "one hundred four million, four hundred eighty-eight thousand, three hundred eighty-four".