105827 has 4 divisors (see below), whose sum is σ = 107016. Its totient is φ = 104640.

The previous prime is 105817. The next prime is 105829. The reversal of 105827 is 728501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 728501 = 17 ⋅42853.

It is a cyclic number.

It is not a de Polignac number, because 105827 - 2¹⁰ = 104803 is a prime.

It is a super-2 number, since 2×105827² = 22398707858, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 449 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (26754).

2¹⁰⁵⁸²⁷ is an apocalyptic number.

105827 is a deficient number, since it is larger than the sum of its proper divisors (1189).

105827 is an equidigital number, since it uses as much as digits as its factorization.

105827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 105827 is about 325.3106207919. The cubic root of 105827 is about 47.3004742297.

The spelling of 105827 in words is "one hundred five thousand, eight hundred twenty-seven".