104564465401 has 32 divisors (see below), whose sum is σ = 120238212096. Its totient is φ = 90066816000.

The previous prime is 104564465389. The next prime is 104564465407.

It is a happy number.

104564465401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104564465401 - 2⁹ = 104564464889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104564465407) 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 31 ways as a sum of consecutive naturals, for example, 3395011 + ... + 3425671.

It is an arithmetic number, because the mean of its divisors is an integer number (3757444128).

Almost surely, 2^104564465401 is an apocalyptic number.

104564465401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104564465401 is a deficient number, since it is larger than the sum of its proper divisors (15673746695).

104564465401 is a wasteful number, since it uses less digits than its factorization.

104564465401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30913.

The product of its (nonzero) digits is 230400, while the sum is 40.

It can be divided in two parts, 104564 and 465401, that added together give a palindrome (569965).

The spelling of 104564465401 in words is "one hundred four billion, five hundred sixty-four million, four hundred sixty-five thousand, four hundred one".