10755 has 12 divisors (see below), whose sum is σ = 18720. Its totient is φ = 5712.

The previous prime is 10753. The next prime is 10771. The reversal of 10755 is 55701.

It is a happy number.

10755 is nontrivially palindromic in base 14.

10755 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

10755 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 10755 - 2¹ = 10753 is a prime.

10755 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75 + ... + 164.

It is an arithmetic number, because the mean of its divisors is an integer number (1560).

2¹⁰⁷⁵⁵ is an apocalyptic number.

10755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10755 is a deficient number, since it is larger than the sum of its proper divisors (7965).

10755 is a wasteful number, since it uses less digits than its factorization.

10755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 10755 is about 103.7063161047. The cubic root of 10755 is about 22.0734459911.

It can be divided in two parts, 107 and 55, that multiplied together give a palindrome (5885).

The spelling of 10755 in words is "ten thousand, seven hundred fifty-five".