105205220 has 24 divisors (see below), whose sum is σ = 230537664. Its totient is φ = 40252256.

The previous prime is 105205211. The next prime is 105205237. The reversal of 105205220 is 22502501.

It is a super-2 number, since 2×105205220² = 22136276630496800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113894 + ... + 114813.

It is an arithmetic number, because the mean of its divisors is an integer number (9605736).

Almost surely, 2^105205220 is an apocalyptic number.

105205220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105205220 is an abundant number, since it is smaller than the sum of its proper divisors (125332444).

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

105205220 is a wasteful number, since it uses less digits than its factorization.

105205220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228739 (or 228737 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 105205220 is about 10256.9595884940. The cubic root of 105205220 is about 472.0765520287.

Adding to 105205220 its reverse (22502501), we get a palindrome (127707721).

The spelling of 105205220 in words is "one hundred five million, two hundred five thousand, two hundred twenty".