105209199 has 20 divisors (see below), whose sum is σ = 164000496. Its totient is φ = 67088736.

The previous prime is 105209189. The next prime is 105209227. The reversal of 105209199 is 991902501.

It is not a de Polignac number, because 105209199 - 2⁴ = 105209183 is a prime.

It is a super-2 number, since 2×105209199² = 22137951108443202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105209189) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26374 + ... + 30099.

Almost surely, 2^105209199 is an apocalyptic number.

105209199 is a deficient number, since it is larger than the sum of its proper divisors (58791297).

105209199 is an equidigital number, since it uses as much as digits as its factorization.

105209199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56508 (or 56499 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 105209199 is about 10257.1535525213. The cubic root of 105209199 is about 472.0825034727.

The spelling of 105209199 in words is "one hundred five million, two hundred nine thousand, one hundred ninety-nine".