104023320401 has 64 divisors (see below), whose sum is σ = 142077788160. Its totient is φ = 73541986560.

The previous prime is 104023320377. The next prime is 104023320431.

104023320401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104023320401 - 2¹⁴ = 104023304017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104023320431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13853090 + ... + 13860596.

It is an arithmetic number, because the mean of its divisors is an integer number (2219965440).

Almost surely, 2^104023320401 is an apocalyptic number.

104023320401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104023320401 is a deficient number, since it is larger than the sum of its proper divisors (38054467759).

104023320401 is a wasteful number, since it uses less digits than its factorization.

104023320401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7774.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 104023 and 320401, that added together give a palindrome (424424).

The spelling of 104023320401 in words is "one hundred four billion, twenty-three million, three hundred twenty thousand, four hundred one".