105769113 has 12 divisors (see below), whose sum is σ = 142659888. Its totient is φ = 69704800.

The previous prime is 105769099. The next prime is 105769127. The reversal of 105769113 is 311967501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105769099) and next prime (105769127).

It is not a de Polignac number, because 105769113 - 2⁸ = 105768857 is a prime.

It is a super-2 number, since 2×105769113² = 22374210529613538, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105769163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21538 + ... + 25988.

It is an arithmetic number, because the mean of its divisors is an integer number (11888324).

Almost surely, 2^105769113 is an apocalyptic number.

It is an amenable number.

105769113 is a deficient number, since it is larger than the sum of its proper divisors (36890775).

105769113 is an frugal number, since it uses more digits than its factorization.

105769113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 105769113 is about 10284.4111644761. The cubic root of 105769113 is about 472.9184825856.

The spelling of 105769113 in words is "one hundred five million, seven hundred sixty-nine thousand, one hundred thirteen".