104100164001 has 24 divisors (see below), whose sum is σ = 157589839680. Its totient is φ = 66092802336.

The previous prime is 104100163987. The next prime is 104100164011. The reversal of 104100164001 is 100461001401.

104100164001 is a `hidden beast` number, since 10 + 4 + 10 + 0 + 1 + 640 + 0 + 1 = 666.

It is not a de Polignac number, because 104100164001 - 2¹⁰ = 104100162977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104100164011) 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, 1050631 + ... + 1145436.

It is an arithmetic number, because the mean of its divisors is an integer number (6566243320).

Almost surely, 2^104100164001 is an apocalyptic number.

It is an amenable number.

104100164001 is a deficient number, since it is larger than the sum of its proper divisors (53489675679).

104100164001 is a wasteful number, since it uses less digits than its factorization.

104100164001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196325 (or 2196322 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 104100164001 its reverse (100461001401), we get a palindrome (204561165402).

The spelling of 104100164001 in words is "one hundred four billion, one hundred million, one hundred sixty-four thousand, one".