104019984 has 240 divisors, whose sum is σ = 340156800. Its totient is φ = 30336768.

The previous prime is 104019983. The next prime is 104019989. The reversal of 104019984 is 489910401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104019983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3586882 + ... + 3586910.

It is an arithmetic number, because the mean of its divisors is an integer number (1417320).

Almost surely, 2^104019984 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 104019984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170078400).

104019984 is an abundant number, since it is smaller than the sum of its proper divisors (236136816).

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

104019984 is a wasteful number, since it uses less digits than its factorization.

104019984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 104019984 is about 10199.0187763333. The cubic root of 104019984 is about 470.2970568153.

The spelling of 104019984 in words is "one hundred four million, nineteen thousand, nine hundred eighty-four".