105933 has 4 divisors (see below), whose sum is σ = 141248. Its totient is φ = 70620.

The previous prime is 105929. The next prime is 105943. The reversal of 105933 is 339501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 339501 = 3 ⋅113167.

It is not a de Polignac number, because 105933 - 2² = 105929 is a prime.

It is a super-2 number, since 2×105933² = 22443600978, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105913) 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 3 ways as a sum of consecutive naturals, for example, 17653 + ... + 17658.

It is an arithmetic number, because the mean of its divisors is an integer number (35312).

2¹⁰⁵⁹³³ is an apocalyptic number.

It is an amenable number.

105933 is a deficient number, since it is larger than the sum of its proper divisors (35315).

105933 is an equidigital number, since it uses as much as digits as its factorization.

105933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35314.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 105933 is about 325.4735012255. The cubic root of 105933 is about 47.3162615593.

The spelling of 105933 in words is "one hundred five thousand, nine hundred thirty-three".