106509 has 8 divisors (see below), whose sum is σ = 152992. Its totient is φ = 65520.

The previous prime is 106501. The next prime is 106531. The reversal of 106509 is 905601.

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

It is not a de Polignac number, because 106509 - 2³ = 106501 is a prime.

It is a super-2 number, since 2×106509² = 22688334162, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106509.

It is not an unprimeable number, because it can be changed into a prime (106501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1327 + ... + 1404.

It is an arithmetic number, because the mean of its divisors is an integer number (19124).

2¹⁰⁶⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

106509 is a deficient number, since it is larger than the sum of its proper divisors (46483).

106509 is a wasteful number, since it uses less digits than its factorization.

106509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 106509 is about 326.3571663071. The cubic root of 106509 is about 47.4018657244.

The spelling of 106509 in words is "one hundred six thousand, five hundred nine".