100187891 has 2 divisors, whose sum is σ = 100187892. Its totient is φ = 100187890.

The previous prime is 100187873. The next prime is 100187909. The reversal of 100187891 is 198781001.

It is a balanced prime because it is at equal distance from previous prime (100187873) and next prime (100187909).

It is a cyclic number.

It is not a de Polignac number, because 100187891 - 2²⁶ = 33079027 is a prime.

It is a super-2 number, since 2×100187891² = 20075227006055762, which contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (100180891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50093945 + 50093946.

It is an arithmetic number, because the mean of its divisors is an integer number (50093946).

Almost surely, 2^100187891 is an apocalyptic number.

100187891 is a deficient number, since it is larger than the sum of its proper divisors (1).

100187891 is an equidigital number, since it uses as much as digits as its factorization.

100187891 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 35.

The square root of 100187891 is about 10009.3901412624. The cubic root of 100187891 is about 464.4494057379.

The spelling of 100187891 in words is "one hundred million, one hundred eighty-seven thousand, eight hundred ninety-one".