104404001 has 24 divisors (see below), whose sum is σ = 118945512. Its totient is φ = 91065600.

The previous prime is 104403989. The next prime is 104404007. The reversal of 104404001 is 100404401.

It can be written as a sum of positive squares in 4 ways, for example, as 384400 + 104019601 = 620^2 + 10199^2 .

It is not a de Polignac number, because 104404001 - 2¹⁸ = 104141857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104404007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 762005 + ... + 762141.

It is an arithmetic number, because the mean of its divisors is an integer number (4956063).

Almost surely, 2^104404001 is an apocalyptic number.

It is an amenable number.

104404001 is a deficient number, since it is larger than the sum of its proper divisors (14541511).

104404001 is a wasteful number, since it uses less digits than its factorization.

104404001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 104404001 is about 10217.8276066882. The cubic root of 104404001 is about 470.8750876450.

Adding to 104404001 its reverse (100404401), we get a palindrome (204808402).

It can be divided in two parts, 10440 and 4001, that added together give a palindrome (14441).

The spelling of 104404001 in words is "one hundred four million, four hundred four thousand, one".