106755 has 16 divisors (see below), whose sum is σ = 186624. Its totient is φ = 51680.

The previous prime is 106753. The next prime is 106759. The reversal of 106755 is 557601.

It is not a de Polignac number, because 106755 - 2¹ = 106753 is a prime.

It is a super-2 number, since 2×106755² = 22793260050, which contains 22 as substring.

It is a Sastry number since concatenated with its successor gives a square.

106755 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106755.

It is not an unprimeable number, because it can be changed into a prime (106751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (11664).

2¹⁰⁶⁷⁵⁵ is an apocalyptic number.

106755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106755 is a deficient number, since it is larger than the sum of its proper divisors (79869).

106755 is a wasteful number, since it uses less digits than its factorization.

106755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 106755 is about 326.7338366316. The cubic root of 106755 is about 47.4383317912.

It can be divided in two parts, 1067 and 55, that multiplied together give a palindrome (58685).

The spelling of 106755 in words is "one hundred six thousand, seven hundred fifty-five".