https://www.techspot.com/review/1041-intel-core-i7-6700k-skylake/page11.html
That's seemingly a worst-case scenario, but it's important to realize that you get power SPIKES in any system above what charts like this show so 120W is probably not going to work.
Not sure WHY you would need such a small case, but usually for an HTPC (media) or basic browsing/light usage PC a dual-core (i3) is sufficient.
*Heck, the G4560 is pretty cheap and is a 2C/4T processor excellent for light to medium tasks.