105765093 has 24 divisors (see below), whose sum is σ = 175032000. Its totient is φ = 60286464.

The previous prime is 105765053. The next prime is 105765097. The reversal of 105765093 is 390567501.

It is a happy number.

It is not a de Polignac number, because 105765093 - 2¹³ = 105756901 is a prime.

It is a super-2 number, since 2×105765093² = 22372509794597298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105765097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26418 + ... + 30156.

It is an arithmetic number, because the mean of its divisors is an integer number (7293000).

Almost surely, 2^105765093 is an apocalyptic number.

It is an amenable number.

105765093 is a deficient number, since it is larger than the sum of its proper divisors (69266907).

105765093 is a wasteful number, since it uses less digits than its factorization.

105765093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 105765093 is about 10284.2157211914. The cubic root of 105765093 is about 472.9124910557.

The spelling of 105765093 in words is "one hundred five million, seven hundred sixty-five thousand, ninety-three".