Realistically, what would my IQ be?

I have never taken an official IQ test in my life. Based on this overview of my abilities and the accurate details of my life, what should my IQ score be? I am 16 years old, and for my entire life I have always placed in the 98% and 99% percentiles on standardized tests. I have always taken advanced cles in school. I went through with that Johns Hopkins talented program when I was young, but I never felt special for doing that because many of my friends did it also. Ever since a young age, I have always had an extraordinarily creative mind. I started reading on my own at the age of 4, and started playing the violin at the age of 5. I also do art, and I have won art competitions in my state for oil paintings. Throughout the day, I constantly have very intense thoughts about philosophy and science. Like when I walk down the street on the way home from school, I look at buildings and objects, and I try to apply mathematical formulas to estimate measurements of them in my mind. I'm obsessed with graphing in mathematics. I'll spend time plugging in different functions into my graphing calculator for entertainment. My math teacher, who is a former electrical engineer from Bell Laboratories, told my parents that I am one of the brightest students in his cles that he teaches. In school, I get A's on tests by barely even studying. I can pull out the notes and read the chapter for a test the night before, and receive an A+ on it the next day. Last year, I scored a 99 on my chemistry midterm after studying for one half of an hour the night before. On the other hand, I'm an extremely socially inept person. I'm constantly thinking during the day, and many people will often mistake my pensiveness for arrogance. I find it very difficult to hold a conversation with someone else my own age, because I'm easily bored by trivial matters. I also have an extremely difficult time feeling empathy. I feign it when I have to, but it is seldom that I truly feel it.