106809 has 4 divisors (see below), whose sum is σ = 142416. Its totient is φ = 71204.

The previous prime is 106801. The next prime is 106823. The reversal of 106809 is 908601.

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 106809 - 2³ = 106801 is a prime.

It is a super-2 number, since 2×106809² = 22816324962, which contains 22 as substring.

It is a D-number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106809.

It is not an unprimeable number, because it can be changed into a prime (106801) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17799 + ... + 17804.

It is an arithmetic number, because the mean of its divisors is an integer number (35604).

2¹⁰⁶⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

106809 is a deficient number, since it is larger than the sum of its proper divisors (35607).

106809 is an equidigital number, since it uses as much as digits as its factorization.

106809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35606.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 106809 is about 326.8164622537. The cubic root of 106809 is about 47.4463290376.

The spelling of 106809 in words is "one hundred six thousand, eight hundred nine".