100931 has 2 divisors, whose sum is σ = 100932. Its totient is φ = 100930.

The previous prime is 100927. The next prime is 100937. The reversal of 100931 is 139001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100931 - 2² = 100927 is a prime.

It is a super-2 number, since 2×100931² = 20374133522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50465 + 50466.

It is an arithmetic number, because the mean of its divisors is an integer number (50466).

2¹⁰⁰⁹³¹ is an apocalyptic number.

100931 is a deficient number, since it is larger than the sum of its proper divisors (1).

100931 is an equidigital number, since it uses as much as digits as its factorization.

100931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 100931 is about 317.6963959506. The cubic root of 100931 is about 46.5594875909.

Adding to 100931 its reverse (139001), we get a palindrome (239932).

The spelling of 100931 in words is "one hundred thousand, nine hundred thirty-one".