104241142401 has 32 divisors (see below), whose sum is σ = 155755124736. Its totient is φ = 61455672000.

The previous prime is 104241142391. The next prime is 104241142417.

104241142401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104241142401 - 2⁹ = 104241141889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104241142451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11095416 + ... + 11104806.

It is an arithmetic number, because the mean of its divisors is an integer number (4867347648).

Almost surely, 2^104241142401 is an apocalyptic number.

104241142401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104241142401 is a deficient number, since it is larger than the sum of its proper divisors (51513982335).

104241142401 is a wasteful number, since it uses less digits than its factorization.

104241142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18533.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 104241 and 142401, that added together give a palindrome (246642).

The spelling of 104241142401 in words is "one hundred four billion, two hundred forty-one million, one hundred forty-two thousand, four hundred one".