104442004224 has 216 divisors, whose sum is σ = 306354327552. Its totient is φ = 34213509120.

The previous prime is 104442004207. The next prime is 104442004231. The reversal of 104442004224 is 422400244401.

104442004224 is a `hidden beast` number, since 10 + 4 + 4 + 420 + 0 + 4 + 224 = 666.

104442004224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62651839 + ... + 62653505.

It is an arithmetic number, because the mean of its divisors is an integer number (1418307072).

Almost surely, 2^104442004224 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 104442004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153177163776).

104442004224 is an abundant number, since it is smaller than the sum of its proper divisors (201912323328).

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

104442004224 is a wasteful number, since it uses less digits than its factorization.

104442004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 104442004224 its reverse (422400244401), we get a palindrome (526842248625).

The spelling of 104442004224 in words is "one hundred four billion, four hundred forty-two million, four thousand, two hundred twenty-four".