105165311 has 2 divisors, whose sum is σ = 105165312. Its totient is φ = 105165310.

The previous prime is 105165253. The next prime is 105165373. The reversal of 105165311 is 113561501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105165311 is a prime.

It is a super-2 number, since 2×105165311² = 22119485275453442, which contains 22 as substring.

It is a Chen prime.

It is equal to p_6041660 and since 105165311 and 6041660 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105165811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52582655 + 52582656.

It is an arithmetic number, because the mean of its divisors is an integer number (52582656).

Almost surely, 2^105165311 is an apocalyptic number.

105165311 is a deficient number, since it is larger than the sum of its proper divisors (1).

105165311 is an equidigital number, since it uses as much as digits as its factorization.

105165311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 105165311 is about 10255.0139444079. The cubic root of 105165311 is about 472.0168512968.

The spelling of 105165311 in words is "one hundred five million, one hundred sixty-five thousand, three hundred eleven".