102931 has 2 divisors, whose sum is σ = 102932. Its totient is φ = 102930.

The previous prime is 102929. The next prime is 102953. The reversal of 102931 is 139201.

It is a weak prime.

It is an emirp because it is prime and its reverse (139201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102931 - 2¹ = 102929 is a prime.

It is a super-2 number, since 2×102931² = 21189581522, which contains 22 as substring.

Together with 102929, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102911) 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, 51465 + 51466.

It is an arithmetic number, because the mean of its divisors is an integer number (51466).

2¹⁰²⁹³¹ is an apocalyptic number.

102931 is a deficient number, since it is larger than the sum of its proper divisors (1).

102931 is an equidigital number, since it uses as much as digits as its factorization.

102931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 102931 is about 320.8286146839. The cubic root of 102931 is about 46.8650117978.

The spelling of 102931 in words is "one hundred two thousand, nine hundred thirty-one".