100090918191 has 48 divisors (see below), whose sum is σ = 148622277888. Its totient is φ = 59863647360.

The previous prime is 100090918181. The next prime is 100090918199. The reversal of 100090918191 is 191819090001.

It is not a de Polignac number, because 100090918191 - 2⁷ = 100090918063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100090918199) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46487971 + ... + 46490123.

It is an arithmetic number, because the mean of its divisors is an integer number (3096297456).

Almost surely, 2^100090918191 is an apocalyptic number.

100090918191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100090918191 is a deficient number, since it is larger than the sum of its proper divisors (48531359697).

100090918191 is a wasteful number, since it uses less digits than its factorization.

100090918191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 39.

The spelling of 100090918191 in words is "one hundred billion, ninety million, nine hundred eighteen thousand, one hundred ninety-one".