105933931 has 2 divisors, whose sum is σ = 105933932. Its totient is φ = 105933930.

The previous prime is 105933907. The next prime is 105933967. The reversal of 105933931 is 139339501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105933931 - 2⁹ = 105933419 is a prime.

It is a super-2 number, since 2×105933931² = 22443995474225522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105933431) 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, 52966965 + 52966966.

It is an arithmetic number, because the mean of its divisors is an integer number (52966966).

Almost surely, 2^105933931 is an apocalyptic number.

105933931 is a deficient number, since it is larger than the sum of its proper divisors (1).

105933931 is an equidigital number, since it uses as much as digits as its factorization.

105933931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10935, while the sum is 34.

The square root of 105933931 is about 10292.4210465760. The cubic root of 105933931 is about 473.1640017303.

The spelling of 105933931 in words is "one hundred five million, nine hundred thirty-three thousand, nine hundred thirty-one".