100808445246875 has 48 divisors (see below), whose sum is σ = 130355483902560. Its totient is φ = 77861007840000.

The previous prime is 100808445246863. The next prime is 100808445246881. The reversal of 100808445246875 is 578642544808001.

It is not a de Polignac number, because 100808445246875 - 2²⁶ = 100808378138011 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2334750287 + ... + 2334793463.

It is an arithmetic number, because the mean of its divisors is an integer number (2715739247970).

Almost surely, 2^{100808445246875} is an apocalyptic number.

100808445246875 is a deficient number, since it is larger than the sum of its proper divisors (29547038655685).

100808445246875 is an frugal number, since it uses more digits than its factorization.

100808445246875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68994 (or 68974 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 62.

The spelling of 100808445246875 in words is "one hundred trillion, eight hundred eight billion, four hundred forty-five million, two hundred forty-six thousand, eight hundred seventy-five".