104005412224 has 64 divisors (see below), whose sum is σ = 237018101760. Its totient is φ = 44532324864.

The previous prime is 104005412213. The next prime is 104005412233. The reversal of 104005412224 is 422214500401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 920559 + ... + 1027345.

It is an arithmetic number, because the mean of its divisors is an integer number (3703407840).

Almost surely, 2^104005412224 is an apocalyptic number.

104005412224 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 104005412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118509050880).

104005412224 is an abundant number, since it is smaller than the sum of its proper divisors (133012689536).

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

104005412224 is a wasteful number, since it uses less digits than its factorization.

104005412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107895 (or 107883 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 104005412224 its reverse (422214500401), we get a palindrome (526219912625).

The spelling of 104005412224 in words is "one hundred four billion, five million, four hundred twelve thousand, two hundred twenty-four".