100091137 has 2 divisors, whose sum is σ = 100091138. Its totient is φ = 100091136.

The previous prime is 100091119. The next prime is 100091149. The reversal of 100091137 is 731190001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99680256 + 410881 = 9984^2 + 641^2 .

It is an emirp because it is prime and its reverse (731190001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100091137 - 2²³ = 91702529 is a prime.

It is not a weakly prime, because it can be changed into another prime (100091237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50045568 + 50045569.

It is an arithmetic number, because the mean of its divisors is an integer number (50045569).

Almost surely, 2^100091137 is an apocalyptic number.

It is an amenable number.

100091137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100091137 is an equidigital number, since it uses as much as digits as its factorization.

100091137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 22.

The square root of 100091137 is about 10004.5558122287. Note that the first 3 decimals coincide. The cubic root of 100091137 is about 464.2998473737.

The spelling of 100091137 in words is "one hundred million, ninety-one thousand, one hundred thirty-seven".