105730765 has 32 divisors (see below), whose sum is σ = 149630976. Its totient is φ = 70217280.

The previous prime is 105730753. The next prime is 105730787. The reversal of 105730765 is 567037501.

It is not a de Polignac number, because 105730765 - 2⁵ = 105730733 is a prime.

It is a super-2 number, since 2×105730765² = 22357989334970450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105730765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245100 + ... + 245530.

It is an arithmetic number, because the mean of its divisors is an integer number (4675968).

Almost surely, 2^105730765 is an apocalyptic number.

It is an amenable number.

105730765 is a deficient number, since it is larger than the sum of its proper divisors (43900211).

105730765 is a wasteful number, since it uses less digits than its factorization.

105730765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649.

The product of its (nonzero) digits is 22050, while the sum is 34.

The square root of 105730765 is about 10282.5466203660. The cubic root of 105730765 is about 472.8613213796.

The spelling of 105730765 in words is "one hundred five million, seven hundred thirty thousand, seven hundred sixty-five".