105863 has 2 divisors, whose sum is σ = 105864. Its totient is φ = 105862.

The previous prime is 105829. The next prime is 105871. The reversal of 105863 is 368501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105863 - 2⁸ = 105607 is a prime.

It is a super-2 number, since 2×105863² = 22413949538, which contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52931 + 52932.

It is an arithmetic number, because the mean of its divisors is an integer number (52932).

2¹⁰⁵⁸⁶³ is an apocalyptic number.

105863 is a deficient number, since it is larger than the sum of its proper divisors (1).

105863 is an equidigital number, since it uses as much as digits as its factorization.

105863 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 105863 is about 325.3659478188. The cubic root of 105863 is about 47.3058371460.

The spelling of 105863 in words is "one hundred five thousand, eight hundred sixty-three".