105769 has 2 divisors, whose sum is σ = 105770. Its totient is φ = 105768.

The previous prime is 105767. The next prime is 105817. The reversal of 105769 is 967501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105625 + 144 = 325^2 + 12^2 .

It is an emirp because it is prime and its reverse (967501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105769 - 2¹ = 105767 is a prime.

It is a super-2 number, since 2×105769² = 22374162722, which contains 22 as substring.

Together with 105767, 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 (105761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52884 + 52885.

It is an arithmetic number, because the mean of its divisors is an integer number (52885).

2¹⁰⁵⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

105769 is a deficient number, since it is larger than the sum of its proper divisors (1).

105769 is an equidigital number, since it uses as much as digits as its factorization.

105769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 105769 is about 325.2214630064. The cubic root of 105769 is about 47.2918314169.

It can be divided in two parts, 10576 and 9, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 105769 in words is "one hundred five thousand, seven hundred sixty-nine".