105817331 has 2 divisors, whose sum is σ = 105817332. Its totient is φ = 105817330.

The previous prime is 105817307. The next prime is 105817339. The reversal of 105817331 is 133718501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105817331 is a prime.

It is a super-2 number, since 2×105817331² = 22394615079927122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105817294 and 105817303.

It is not a weakly prime, because it can be changed into another prime (105817339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52908665 + 52908666.

It is an arithmetic number, because the mean of its divisors is an integer number (52908666).

Almost surely, 2^105817331 is an apocalyptic number.

105817331 is a deficient number, since it is larger than the sum of its proper divisors (1).

105817331 is an equidigital number, since it uses as much as digits as its factorization.

105817331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 105817331 is about 10286.7551249167. The cubic root of 105817331 is about 472.9903363258.

The spelling of 105817331 in words is "one hundred five million, eight hundred seventeen thousand, three hundred thirty-one".