106509209 has 8 divisors (see below), whose sum is σ = 107543040. Its totient is φ = 105480000.

The previous prime is 106509203. The next prime is 106509217. The reversal of 106509209 is 902905601.

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

It is a cyclic number.

It is not a de Polignac number, because 106509209 - 2⁸ = 106508953 is a prime.

It is a super-2 number, since 2×106509209² = 22688423203611362, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106509203) 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, 59672 + ... + 61430.

It is an arithmetic number, because the mean of its divisors is an integer number (13442880).

Almost surely, 2^106509209 is an apocalyptic number.

It is an amenable number.

106509209 is a deficient number, since it is larger than the sum of its proper divisors (1033831).

106509209 is a wasteful number, since it uses less digits than its factorization.

106509209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311.

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 106509209 is about 10320.3298881383. The cubic root of 106509209 is about 474.0189672957.

The spelling of 106509209 in words is "one hundred six million, five hundred nine thousand, two hundred nine".