10506209 has 8 divisors (see below), whose sum is σ = 12300288. Its totient is φ = 8785440.

The previous prime is 10506191. The next prime is 10506211. The reversal of 10506209 is 90260501.

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 10506209 - 2¹² = 10502113 is a prime.

It is a super-2 number, since 2×10506209² = 220760855103362, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10503209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18017 + ... + 18590.

It is an arithmetic number, because the mean of its divisors is an integer number (1537536).

Almost surely, 2^10506209 is an apocalyptic number.

It is an amenable number.

10506209 is a deficient number, since it is larger than the sum of its proper divisors (1794079).

10506209 is an equidigital number, since it uses as much as digits as its factorization.

10506209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36655.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 10506209 is about 3241.3282771111. The cubic root of 10506209 is about 219.0191110836.

The spelling of 10506209 in words is "ten million, five hundred six thousand, two hundred nine".