Note: I'm sharing what the tour guide and others in my group told me (and I don't have a perfect memory), so I apologize if anything is inaccurate.
After the Prophet Muhammad (peace and blessings be upon him) moved from Mecca to Medina in the early days of Islam due to a low approval rate, the people from Mecca went to Medina and attacked the Prophet Muhammad (peace and blessings be upon him) and his followers. When he needed a place to hide and get some rest and recovery, he came to this mountain.
Apparently, he just really loved this mountain-like he did all people.
The first two pictures below show exactly where he would stay on the mountain. The others I took at the foot of the mountain.
