100938991 has 2 divisors, whose sum is σ = 100938992. Its totient is φ = 100938990.

The previous prime is 100938947. The next prime is 100939009. The reversal of 100938991 is 199839001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100938991 - 2⁷ = 100938863 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100938091) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50469495 + 50469496.

It is an arithmetic number, because the mean of its divisors is an integer number (50469496).

Almost surely, 2^100938991 is an apocalyptic number.

100938991 is a deficient number, since it is larger than the sum of its proper divisors (1).

100938991 is an equidigital number, since it uses as much as digits as its factorization.

100938991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 40.

The square root of 100938991 is about 10046.8398514160. The cubic root of 100938991 is about 465.6071630841.

It can be divided in two parts, 1009 and 38991, that added together give a square (40000 = 200²).

The spelling of 100938991 in words is "one hundred million, nine hundred thirty-eight thousand, nine hundred ninety-one".