105765097 has 2 divisors, whose sum is σ = 105765098. Its totient is φ = 105765096.

The previous prime is 105765053. The next prime is 105765119. The reversal of 105765097 is 790567501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105596176 + 168921 = 10276^2 + 411^2 .

It is a cyclic number.

It is not a de Polignac number, because 105765097 - 2¹⁵ = 105732329 is a prime.

It is a super-2 number, since 2×105765097² = 22372511486838818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105765047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52882548 + 52882549.

It is an arithmetic number, because the mean of its divisors is an integer number (52882549).

Almost surely, 2^105765097 is an apocalyptic number.

It is an amenable number.

105765097 is a deficient number, since it is larger than the sum of its proper divisors (1).

105765097 is an equidigital number, since it uses as much as digits as its factorization.

105765097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 66150, while the sum is 40.

The square root of 105765097 is about 10284.2159156642. The cubic root of 105765097 is about 472.9124970175.

The spelling of 105765097 in words is "one hundred five million, seven hundred sixty-five thousand, ninety-seven".