105162331 has 2 divisors, whose sum is σ = 105162332. Its totient is φ = 105162330.

The previous prime is 105162313. The next prime is 105162347. The reversal of 105162331 is 133261501.

It is a happy number.

Together with previous prime (105162313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (133261501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105162331 is a prime.

It is a super-2 number, since 2×105162331² = 22118231722707122, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105162301) 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, 52581165 + 52581166.

It is an arithmetic number, because the mean of its divisors is an integer number (52581166).

Almost surely, 2^105162331 is an apocalyptic number.

105162331 is a deficient number, since it is larger than the sum of its proper divisors (1).

105162331 is an equidigital number, since it uses as much as digits as its factorization.

105162331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 105162331 is about 10254.8686485981. The cubic root of 105162331 is about 472.0123928447.

The spelling of 105162331 in words is "one hundred five million, one hundred sixty-two thousand, three hundred thirty-one".