105338205 has 128 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 44209152.

The previous prime is 105338161. The next prime is 105338209. The reversal of 105338205 is 502833501.

It is not a de Polignac number, because 105338205 - 2¹⁰ = 105337181 is a prime.

It is a super-2 number, since 2×105338205² = 22192274865244050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105338209) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1269094 + ... + 1269176.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2^105338205 is an apocalyptic number.

105338205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105338205 is an abundant number, since it is smaller than the sum of its proper divisors (126904995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105338205 is a wasteful number, since it uses less digits than its factorization.

105338205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105338205 is about 10263.4402127162. The cubic root of 105338205 is about 472.2753782428.

The spelling of 105338205 in words is "one hundred five million, three hundred thirty-eight thousand, two hundred five".