105005226 has 64 divisors (see below), whose sum is σ = 230947200. Its totient is φ = 31696896.

The previous prime is 105005213. The next prime is 105005227. The reversal of 105005226 is 622500501.

It is a super-2 number, since 2×105005226² = 22052194974622152, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105005227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390220 + ... + 390488.

It is an arithmetic number, because the mean of its divisors is an integer number (3608550).

Almost surely, 2^105005226 is an apocalyptic number.

105005226 is an abundant number, since it is smaller than the sum of its proper divisors (125941974).

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

105005226 is a wasteful number, since it uses less digits than its factorization.

105005226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105005226 is about 10247.2057654758. The cubic root of 105005226 is about 471.7772247808. Note that the first 3 decimals are identical.

Adding to 105005226 its reverse (622500501), we get a palindrome (727505727).

The spelling of 105005226 in words is "one hundred five million, five thousand, two hundred twenty-six".