105959831 has 2 divisors, whose sum is σ = 105959832. Its totient is φ = 105959830.

The previous prime is 105959809. The next prime is 105959849. The reversal of 105959831 is 138959501.

It is a strong prime.

It is an emirp because it is prime and its reverse (138959501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105959831 is a prime.

It is a super-2 number, since 2×105959831² = 22454971571097122, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105959851) 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, 52979915 + 52979916.

It is an arithmetic number, because the mean of its divisors is an integer number (52979916).

Almost surely, 2^105959831 is an apocalyptic number.

105959831 is a deficient number, since it is larger than the sum of its proper divisors (1).

105959831 is an equidigital number, since it uses as much as digits as its factorization.

105959831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48600, while the sum is 41.

The square root of 105959831 is about 10293.6791770484. The cubic root of 105959831 is about 473.2025601944.

The spelling of 105959831 in words is "one hundred five million, nine hundred fifty-nine thousand, eight hundred thirty-one".