105220 has 12 divisors (see below), whose sum is σ = 221004. Its totient is φ = 42080.
The previous prime is 105211. The next prime is 105227. The reversal of 105220 is 22501.
It can be written as a sum of positive squares in 2 ways, for example, as 58564 + 46656 = 242^2 + 216^2 .
It is a super-2 number, since 2×1052202 = 22142496800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 105197 and 105206.
It is not an unprimeable number, because it can be changed into a prime (105227) by changing a digit.
105220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2611 + ... + 2650.
It is an arithmetic number, because the mean of its divisors is an integer number (18417).
2105220 is an apocalyptic number.
105220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
105220 is an abundant number, since it is smaller than the sum of its proper divisors (115784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105220 is a wasteful number, since it uses less digits than its factorization.
105220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5270 (or 5268 counting only the distinct ones).
The product of its (nonzero) digits is 20, while the sum is 10.
The square root of 105220 is about 324.3763246601. The cubic root of 105220 is about 47.2098657918.
Adding to 105220 its reverse (22501), we get a palindrome (127721).
It can be divided in two parts, 105 and 220, that added together give a triangular number (325 = T25).
The spelling of 105220 in words is "one hundred five thousand, two hundred twenty".
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