105336209 has 8 divisors (see below), whose sum is σ = 120960480. Its totient is φ = 90720000.

The previous prime is 105336193. The next prime is 105336211. The reversal of 105336209 is 902633501.

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 105336209 - 2⁴ = 105336193 is a prime.

It is a super-2 number, since 2×105336209² = 22191433852983362, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105336269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251792 + ... + 252209.

It is an arithmetic number, because the mean of its divisors is an integer number (15120060).

Almost surely, 2^105336209 is an apocalyptic number.

105336209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105336209 is a deficient number, since it is larger than the sum of its proper divisors (15624271).

105336209 is a wasteful number, since it uses less digits than its factorization.

105336209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504031.

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 105336209 is about 10263.3429739048. The cubic root of 105336209 is about 472.2723952554.

The spelling of 105336209 in words is "one hundred five million, three hundred thirty-six thousand, two hundred nine".