105329111 has 2 divisors, whose sum is σ = 105329112. Its totient is φ = 105329110.

The previous prime is 105329089. The next prime is 105329113. The reversal of 105329111 is 111923501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105329111 - 2²² = 101134807 is a prime.

It is a super-2 number, since 2×105329111² = 22188443248100642, which contains 22 as substring.

Together with 105329113, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105329113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52664555 + 52664556.

It is an arithmetic number, because the mean of its divisors is an integer number (52664556).

Almost surely, 2^105329111 is an apocalyptic number.

105329111 is a deficient number, since it is larger than the sum of its proper divisors (1).

105329111 is an equidigital number, since it uses as much as digits as its factorization.

105329111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 105329111 is about 10262.9971743151. The cubic root of 105329111 is about 472.2617871123.

The spelling of 105329111 in words is "one hundred five million, three hundred twenty-nine thousand, one hundred eleven".