105086220 has 24 divisors (see below), whose sum is σ = 294241584. Its totient is φ = 28022976.

The previous prime is 105086213. The next prime is 105086237. The reversal of 105086220 is 22680501.

It is a super-2 number, since 2×105086220² = 22086227267776800, 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, 875659 + ... + 875778.

It is an arithmetic number, because the mean of its divisors is an integer number (12260066).

Almost surely, 2^105086220 is an apocalyptic number.

105086220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105086220 is an abundant number, since it is smaller than the sum of its proper divisors (189155364).

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

105086220 is a wasteful number, since it uses less digits than its factorization.

105086220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751449 (or 1751447 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105086220 is about 10251.1570078699. The cubic root of 105086220 is about 471.8984927268.

The spelling of 105086220 in words is "one hundred five million, eighty-six thousand, two hundred twenty".