105855 has 8 divisors (see below), whose sum is σ = 169392. Its totient is φ = 56448.

The previous prime is 105829. The next prime is 105863. The reversal of 105855 is 558501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105855 - 2⁷ = 105727 is a prime.

It is a super-2 number, since 2×105855² = 22410562050, which contains 22 as substring.

105855 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105855.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3514 + ... + 3543.

It is an arithmetic number, because the mean of its divisors is an integer number (21174).

2¹⁰⁵⁸⁵⁵ is an apocalyptic number.

105855 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105855 is a deficient number, since it is larger than the sum of its proper divisors (63537).

105855 is an equidigital number, since it uses as much as digits as its factorization.

105855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065.

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 105855 is about 325.3536537370. The cubic root of 105855 is about 47.3046454919.

It can be divided in two parts, 10585 and 5, that multiplied together give a palindrome (52925).

The spelling of 105855 in words is "one hundred five thousand, eight hundred fifty-five".