106765 has 8 divisors (see below), whose sum is σ = 129888. Its totient is φ = 84240.

The previous prime is 106759. The next prime is 106781. The reversal of 106765 is 567601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106765 - 2⁷ = 106637 is a prime.

It is a super-2 number, since 2×106765² = 22797530450, which contains 22 as substring.

It is a Duffinian number.

106765 is a lucky number.

It is a congruent number.

It is an unprimeable 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, 574 + ... + 736.

It is an arithmetic number, because the mean of its divisors is an integer number (16236).

2¹⁰⁶⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

106765 is a deficient number, since it is larger than the sum of its proper divisors (23123).

106765 is a wasteful number, since it uses less digits than its factorization.

106765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299.

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

The square root of 106765 is about 326.7491392491. The cubic root of 106765 is about 47.4398129662.

The spelling of 106765 in words is "one hundred six thousand, seven hundred sixty-five".