105255 has 12 divisors (see below), whose sum is σ = 182520. Its totient is φ = 56112.

The previous prime is 105253. The next prime is 105263. The reversal of 105255 is 552501.

It is not a de Polignac number, because 105255 - 2¹ = 105253 is a prime.

It is a super-2 number, since 2×105255² = 22157230050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1125 + ... + 1214.

It is an arithmetic number, because the mean of its divisors is an integer number (15210).

2¹⁰⁵²⁵⁵ is an apocalyptic number.

105255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105255 is a deficient number, since it is larger than the sum of its proper divisors (77265).

105255 is a wasteful number, since it uses less digits than its factorization.

105255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 105255 is about 324.4302698578. The cubic root of 105255 is about 47.2150997844.

Adding to 105255 its reverse (552501), we get a palindrome (657756).

It can be divided in two parts, 10525 and 5, that multiplied together give a palindrome (52625).

The spelling of 105255 in words is "one hundred five thousand, two hundred fifty-five".