105886220 has 24 divisors (see below), whose sum is σ = 242576208. Its totient is φ = 38504000.

The previous prime is 105886219. The next prime is 105886223. The reversal of 105886220 is 22688501.

It is a super-2 number, since 2×105886220² = 22423783171776800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105886223) by changing a digit.

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, 240431 + ... + 240870.

It is an arithmetic number, because the mean of its divisors is an integer number (10107342).

Almost surely, 2^105886220 is an apocalyptic number.

105886220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105886220 is an abundant number, since it is smaller than the sum of its proper divisors (136689988).

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

105886220 is a wasteful number, since it uses less digits than its factorization.

105886220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481321 (or 481319 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 105886220 is about 10290.1030121180. The cubic root of 105886220 is about 473.0929558199.

It can be divided in two parts, 1058 and 86220, that added together give a palindrome (87278).

The spelling of 105886220 in words is "one hundred five million, eight hundred eighty-six thousand, two hundred twenty".