As hard as it is, I would not brag to anyone about his skills and abilities. It will alienate you and you will lose friends. People hate other parents talking about their kids, its like no mans land, you must never admit you are proud.
Just enjoy hims and dont hot house him because you know he has skills and abilities. Let him play and learn and develop, you will have a much happier child in the long run. You can develop and nuture his abilities softly.
there are lots of kids that can do what you mention, and a lot of parents want to push this on to the next stage, which means when they get to school they get bored, and then labelled or develop bad behaviour.
Truly gifted children are out of the spectrum and they will have certain behaviourial skills that are way outside the norm. There are lists on the internet that compare gifted to bright children and there is a huge difference.
A lot of kids seem to go on a G&T register early on, but this doesnt always follow through the school. Different teachers and schools have different views. A bright child in one school may seem average in another.
mOST of all, enjoy these early years, time passes too quickly.