104214242412401 has 24 divisors (see below), whose sum is σ = 115693528641600. Its totient is φ = 93794223204000.

The previous prime is 104214242412377. The next prime is 104214242412403.

It is a happy number.

104214242412401 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-104214242412401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104214242412403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145794410 + ... + 146507468.

It is an arithmetic number, because the mean of its divisors is an integer number (4820563693400).

Almost surely, 2^{104214242412401} is an apocalyptic number.

104214242412401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104214242412401 is a deficient number, since it is larger than the sum of its proper divisors (11479286229199).

104214242412401 is a wasteful number, since it uses less digits than its factorization.

104214242412401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725141 (or 725130 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 104214242412401 in words is "one hundred four trillion, two hundred fourteen billion, two hundred forty-two million, four hundred twelve thousand, four hundred one".