As a very old tech, (30 years and counting) I have one rule of thumb when it comes to heating of components.
If you touch it and quickly draw back your hand and say #%&@!!! (Ouch!!!!) then it's too hot. Eh?
Any time of any day, I can lay my digital heat sensor (index finger) on any component in my PC and it will feel no more than warm to the touch. My favorite joke is "heck, my first wife ran hotter than my PC".
It sounds almost like there is NO heat sink grease between the CPU chip and its Heat Sink.
Just my own personal preference, but since the old 486 days, I've used nothing but AMD processors. Typically, they will run a lot cooler than the Intel chips, cost less, draw less power and come with a heat-sink and fan more than adequate to keep them cool.
I just ran Speedfan on my own PC and my CPU temp, after about five hours of run-time, is just 100°F. Only slightly above human body temperature. If I lay my finger on top of the CPU heat-sink, it actually feels cool to the touch. That's normal.
Good Luck!
The Shadow