Electrical tape peeling off and almost going into radiator fans

I have a 2005 with about 40,000 miles and there is a bundle of wires between the engine and the fan and it is wrapped in what looks like an electrical tape. It was peeling off and I couldn't get it to stay on. The loose end of the tape was in the fan shroud and almost touching the fan, so I cut it off.

Considering the heat seen in this area, I suspect I can't just use regular electrical tape.

Anyone else had this issue? What kind of wrapping/tape could I use to fix it?