106209 has 6 divisors (see below), whose sum is σ = 153426. Its totient is φ = 70800.

The previous prime is 106207. The next prime is 106213. The reversal of 106209 is 902601.

It can be written as a sum of positive squares in only one way, i.e., 91809 + 14400 = 303^2 + 120^2 .

It is not a de Polignac number, because 106209 - 2¹ = 106207 is a prime.

It is a super-2 number, since 2×106209² = 22560703362, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106191 and 106200.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106209.

It is not an unprimeable number, because it can be changed into a prime (106207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5892 + ... + 5909.

It is an arithmetic number, because the mean of its divisors is an integer number (25571).

2¹⁰⁶²⁰⁹ is an apocalyptic number.

It is an amenable number.

106209 is a deficient number, since it is larger than the sum of its proper divisors (47217).

106209 is a wasteful number, since it uses less digits than its factorization.

106209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11807 (or 11804 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 106209 is about 325.8972230627. The cubic root of 106209 is about 47.3573188406.

The spelling of 106209 in words is "one hundred six thousand, two hundred nine".