106766 has 16 divisors (see below), whose sum is σ = 183168. Its totient is φ = 46200.

The previous prime is 106759. The next prime is 106781. The reversal of 106766 is 667601.

106766 is nontrivially palindromic in base 14.

It is a super-2 number, since 2×106766² = 22797957512, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

106766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (11448).

2¹⁰⁶⁷⁶⁶ is an apocalyptic number.

106766 is a deficient number, since it is larger than the sum of its proper divisors (76402).

106766 is a wasteful number, since it uses less digits than its factorization.

106766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 106766 is about 326.7506694714. The cubic root of 106766 is about 47.4399610786.

It can be divided in two parts, 10 and 6766, that added together give a palindrome (6776).

The spelling of 106766 in words is "one hundred six thousand, seven hundred sixty-six".