104441004001 has 8 divisors (see below), whose sum is σ = 107008338024. Its totient is φ = 101874622080.

The previous prime is 104441003983. The next prime is 104441004011. The reversal of 104441004001 is 100400144401.

It can be written as a sum of positive squares in 4 ways, for example, as 12404613376 + 92036390625 = 111376^2 + 303375^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 104441004001 - 2¹⁷ = 104440872929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 104441004001.

It is not an unprimeable number, because it can be changed into a prime (104441004011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13366 + ... + 457231.

It is an arithmetic number, because the mean of its divisors is an integer number (13376042253).

Almost surely, 2^104441004001 is an apocalyptic number.

It is an amenable number.

104441004001 is a deficient number, since it is larger than the sum of its proper divisors (2567334023).

104441004001 is an equidigital number, since it uses as much as digits as its factorization.

104441004001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476051.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 104441004001 its reverse (100400144401), we get a palindrome (204841148402).

The spelling of 104441004001 in words is "one hundred four billion, four hundred forty-one million, four thousand, one".