100742645591 has 32 divisors (see below), whose sum is σ = 121354752000. Its totient is φ = 83509665120.

The previous prime is 100742645579. The next prime is 100742645611. The reversal of 100742645591 is 195546247001.

It is not a de Polignac number, because 100742645591 - 2¹⁰ = 100742644567 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100742645891) 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 31 ways as a sum of consecutive naturals, for example, 26144621 + ... + 26148473.

It is an arithmetic number, because the mean of its divisors is an integer number (3792336000).

Almost surely, 2^100742645591 is an apocalyptic number.

100742645591 is a deficient number, since it is larger than the sum of its proper divisors (20612106409).

100742645591 is an equidigital number, since it uses as much as digits as its factorization.

100742645591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 100742645591 in words is "one hundred billion, seven hundred forty-two million, six hundred forty-five thousand, five hundred ninety-one".