105927 has 16 divisors (see below), whose sum is σ = 156672. Its totient is φ = 63360.

The previous prime is 105913. The next prime is 105929. The reversal of 105927 is 729501.

It is not a de Polignac number, because 105927 - 2⁶ = 105863 is a prime.

It is a super-2 number, since 2×105927² = 22441058658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105897 and 105906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105929) 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 15 ways as a sum of consecutive naturals, for example, 1548 + ... + 1614.

It is an arithmetic number, because the mean of its divisors is an integer number (9792).

2¹⁰⁵⁹²⁷ is an apocalyptic number.

105927 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105927 is a deficient number, since it is larger than the sum of its proper divisors (50745).

105927 is a wasteful number, since it uses less digits than its factorization.

105927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 105927 is about 325.4642837548. The cubic root of 105927 is about 47.3153682181.

The spelling of 105927 in words is "one hundred five thousand, nine hundred twenty-seven".