105830205 has 16 divisors (see below), whose sum is σ = 182353920. Its totient is φ = 52100928.

The previous prime is 105830203. The next prime is 105830213. The reversal of 105830205 is 502038501.

It is not a de Polignac number, because 105830205 - 2¹ = 105830203 is a prime.

It is a super-2 number, since 2×105830205² = 22400064580684050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105830203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271165 + ... + 271554.

It is an arithmetic number, because the mean of its divisors is an integer number (11397120).

Almost surely, 2^105830205 is an apocalyptic number.

105830205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105830205 is a deficient number, since it is larger than the sum of its proper divisors (76523715).

105830205 is a wasteful number, since it uses less digits than its factorization.

105830205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542740.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105830205 is about 10287.3808620076. The cubic root of 105830205 is about 473.0095172753.

Adding to 105830205 its reverse (502038501), we get a palindrome (607868706).

The spelling of 105830205 in words is "one hundred five million, eight hundred thirty thousand, two hundred five".