105766 has 4 divisors (see below), whose sum is σ = 158652. Its totient is φ = 52882.

The previous prime is 105761. The next prime is 105767. The reversal of 105766 is 667501.

It is a semiprime because it is the product of two primes.

It is a super-2 number, since 2×105766² = 22372893512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26440 + ... + 26443.

It is an arithmetic number, because the mean of its divisors is an integer number (39663).

2¹⁰⁵⁷⁶⁶ is an apocalyptic number.

105766 is a deficient number, since it is larger than the sum of its proper divisors (52886).

105766 is an equidigital number, since it uses as much as digits as its factorization.

105766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52885.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 105766 is about 325.2168507319. The cubic root of 105766 is about 47.2913842889.

It can be divided in two parts, 10 and 5766, that added together give a square (5776 = 76²).

The spelling of 105766 in words is "one hundred five thousand, seven hundred sixty-six".