105353205 has 16 divisors (see below), whose sum is σ = 168814464. Its totient is φ = 56105280.

The previous prime is 105353191. The next prime is 105353207. The reversal of 105353205 is 502353501.

It is not a de Polignac number, because 105353205 - 2⁴ = 105353189 is a prime.

It is a super-2 number, since 2×105353205² = 22198595607544050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105353207) 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, 6075 + ... + 15735.

It is an arithmetic number, because the mean of its divisors is an integer number (10550904).

Almost surely, 2^105353205 is an apocalyptic number.

105353205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105353205 is a deficient number, since it is larger than the sum of its proper divisors (63461259).

105353205 is an equidigital number, since it uses as much as digits as its factorization.

105353205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10396.

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 105353205 is about 10264.1709358331. The cubic root of 105353205 is about 472.2977942771.

The spelling of 105353205 in words is "one hundred five million, three hundred fifty-three thousand, two hundred five".