106789 has 4 divisors (see below), whose sum is σ = 111456. Its totient is φ = 102124.

The previous prime is 106787. The next prime is 106801. The reversal of 106789 is 987601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 106789 - 2¹ = 106787 is a prime.

It is a super-2 number, since 2×106789² = 22807781042, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106789.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106781) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2299 + ... + 2344.

It is an arithmetic number, because the mean of its divisors is an integer number (27864).

2¹⁰⁶⁷⁸⁹ is an apocalyptic number.

It is an amenable number.

106789 is a deficient number, since it is larger than the sum of its proper divisors (4667).

106789 is an equidigital number, since it uses as much as digits as its factorization.

106789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 106789 is about 326.7858626073. The cubic root of 106789 is about 47.4433674088.

It can be divided in two parts, 1067 and 89, that added together give a square (1156 = 34²).

The spelling of 106789 in words is "one hundred six thousand, seven hundred eighty-nine".