How many watts??

The great Robert Harley famously said, "If the first watt isn't any good why would you want 200 more of them?"   

This is wisdom. We have heard the amp with fewer watts sound much better in every way than the amp with more watts, over and over again. Not always! Not saying lower power is better. Not saying there are no really good sounding high power amps. Simply saying watts are not the reason. 

Maybe this related to power and sq.
I have noticed when listening at friend's system which is much more sophisticated than mine when listening at higher levels we can still talk to each other comfortably at the listening distance approx 12 feet from speakets without raising our voices too much . And the music seems more 3 dimensional.
When in contrast at my place as I turn up the volume we can't talk to each other as well.
Not sure if it is the quality of his system vs my system or room interaction his vs my room.

More than likely it is a combination of a little bit of all of those things. Detail and resolution are not just the ability to make sound fast, they are equally the ability to end sound fast. Every single component in the chain contributes in some way or other.     

More information is needed, specifically what are the speaker's rated sensitivity.

It is a hypothetical post or a troll post.
So I am not sure that more information is need? It is either answered generally and hypothetically or it is not.

Many amp designers say amps tend to work at their most linearity at around 20% of their full rated output. As has previously been posted, volume increases require logarithmic power output. Having an additional 80% of total power output for headroom is prudent. Running out of power; can lead to clipping; clipping can lead to speaker damage.
Speaker sensitivity, room considerations and desired volume levels will ultimately determine how much power one needs.
There used to be an oft repeated audiophile general rule of thumb; "double the manufacturers minimum power recommendation".