106009 has 4 divisors (see below), whose sum is σ = 106704. Its totient is φ = 105316.

The previous prime is 105997. The next prime is 106013. The reversal of 106009 is 900601.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 106009 - 2⁵ = 105977 is a prime.

It is a super-2 number, since 2×106009² = 22475816162, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105983 and 106001.

It is not an unprimeable number, because it can be changed into a prime (106019) 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, 7 + ... + 460.

It is an arithmetic number, because the mean of its divisors is an integer number (26676).

2¹⁰⁶⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

106009 is a deficient number, since it is larger than the sum of its proper divisors (695).

106009 is an equidigital number, since it uses as much as digits as its factorization.

106009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 106009 is about 325.5902332688. The cubic root of 106009 is about 47.3275742955.

It can be divided in two parts, 10600 and 9, that added together give a square (10609 = 103²).

The spelling of 106009 in words is "one hundred six thousand, nine".