104007143376801 has 28 divisors (see below), whose sum is σ = 178216433809792. Its totient is φ = 59432653355256.

The previous prime is 104007143376793. The next prime is 104007143376809. The reversal of 104007143376801 is 108673341700401.

104007143376801 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 0 + 71 + 433 + 76 + 80 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (104007143376793) and next prime (104007143376809).

It is not a de Polignac number, because 104007143376801 - 2³ = 104007143376793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104007143376809) 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 27 ways as a sum of consecutive naturals, for example, 10190779081 + ... + 10190789286.

It is an arithmetic number, because the mean of its divisors is an integer number (6364872636064).

Almost surely, 2^{104007143376801} is an apocalyptic number.

It is an amenable number.

104007143376801 is a deficient number, since it is larger than the sum of its proper divisors (74209290432991).

104007143376801 is an frugal number, since it uses more digits than its factorization.

104007143376801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20381568392 (or 20381568377 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 104007143376801 in words is "one hundred four trillion, seven billion, one hundred forty-three million, three hundred seventy-six thousand, eight hundred one".