105836365 has 16 divisors (see below), whose sum is σ = 134884800. Its totient is φ = 79494912.

The previous prime is 105836333. The next prime is 105836377. The reversal of 105836365 is 563638501.

It is a cyclic number.

It is not a de Polignac number, because 105836365 - 2⁵ = 105836333 is a prime.

It is a super-2 number, since 2×105836365² = 22402672312826450, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5806 + ... + 15664.

It is an arithmetic number, because the mean of its divisors is an integer number (8430300).

Almost surely, 2^105836365 is an apocalyptic number.

It is an amenable number.

105836365 is a deficient number, since it is larger than the sum of its proper divisors (29048435).

105836365 is a wasteful number, since it uses less digits than its factorization.

105836365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9996.

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 105836365 is about 10287.6802535849. The cubic root of 105836365 is about 473.0186944981.

The spelling of 105836365 in words is "one hundred five million, eight hundred thirty-six thousand, three hundred sixty-five".