105224 has 16 divisors (see below), whose sum is σ = 225600. Its totient is φ = 45072.

The previous prime is 105211. The next prime is 105227. The reversal of 105224 is 422501.

It is a super-2 number, since 2×105224² = 22144180352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 105199 and 105208.

It is not an unprimeable number, because it can be changed into a prime (105227) by changing a digit.

105224 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, 884 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (14100).

2¹⁰⁵²²⁴ is an apocalyptic number.

105224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105224 is an abundant number, since it is smaller than the sum of its proper divisors (120376).

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

105224 is a wasteful number, since it uses less digits than its factorization.

105224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 105224 is about 324.3824902796. The cubic root of 105224 is about 47.2104640211.

Adding to 105224 its reverse (422501), we get a palindrome (527725).

The spelling of 105224 in words is "one hundred five thousand, two hundred twenty-four".