104004096 has 160 divisors (see below), whose sum is σ = 335871360. Its totient is φ = 27918336.

The previous prime is 104004083. The next prime is 104004097. The reversal of 104004096 is 690400401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (104004097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182500 + ... + 183068.

It is an arithmetic number, because the mean of its divisors is an integer number (2099196).

Almost surely, 2^104004096 is an apocalyptic number.

104004096 is a gapful number since it is divisible by the number (16) 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 104004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935680).

104004096 is an abundant number, since it is smaller than the sum of its proper divisors (231867264).

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

104004096 is an equidigital number, since it uses as much as digits as its factorization.

104004096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 104004096 is about 10198.2398481307. The cubic root of 104004096 is about 470.2731112239.

Adding to 104004096 its reverse (690400401), we get a palindrome (794404497).

The spelling of 104004096 in words is "one hundred four million, four thousand, ninety-six".