105317131 has 2 divisors, whose sum is σ = 105317132. Its totient is φ = 105317130.

The previous prime is 105317129. The next prime is 105317141. The reversal of 105317131 is 131713501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105317131 - 2¹ = 105317129 is a prime.

It is a super-2 number, since 2×105317131² = 22183396164142322, which contains 22 as substring.

Together with 105317129, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105317111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52658565 + 52658566.

It is an arithmetic number, because the mean of its divisors is an integer number (52658566).

Almost surely, 2^105317131 is an apocalyptic number.

105317131 is a deficient number, since it is larger than the sum of its proper divisors (1).

105317131 is an equidigital number, since it uses as much as digits as its factorization.

105317131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 105317131 is about 10262.4135075527. The cubic root of 105317131 is about 472.2438816137.

The spelling of 105317131 in words is "one hundred five million, three hundred seventeen thousand, one hundred thirty-one".