105693 has 12 divisors (see below), whose sum is σ = 164160. Its totient is φ = 60312.

The previous prime is 105691. The next prime is 105701. The reversal of 105693 is 396501.

It is not a de Polignac number, because 105693 - 2¹ = 105691 is a prime.

It is a super-2 number, since 2×105693² = 22342020498, which contains 22 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2¹⁰⁵⁶⁹³ is an apocalyptic number.

It is an amenable number.

105693 is a deficient number, since it is larger than the sum of its proper divisors (58467).

105693 is an equidigital number, since it uses as much as digits as its factorization.

105693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 105693 is about 325.1045985525. The cubic root of 105693 is about 47.2805015679.

The spelling of 105693 in words is "one hundred five thousand, six hundred ninety-three".