Nahh...107° is just obnoxious. Most importantly, remember to keep yourself well hydrated...not coffee, soda, or alcohol....dehydration will nullify all my following suggestions.
I'd keep your windows and doors closed. Keep your fans on high.
Grab a hand towel and soak it in cold water, wring it out, then hold it by one corner and spin it around in the air for about 30 seconds. Then drape it around your neck. When it warms back up, grab the corner again and spin it around to cool it off again and re-apply. Works great for hours...until you need to add more water because it dries out eventually.
When I get silly uncomfortable from heat I'll run cold tap water over my wrists and ankles....these are easily accessible spots where your arteries are close enough to the surface of the skin where applying heat or cold will affect the temperature of your blood as it travels
through your body. It's not perfect, but it helps.
You can also take a wet washcloth (with cold water) and wipe your exposed skin down with it, then sit in front of a fan or two. Of if it gets bad, forego the mini sponge bath and step
through a cool shower really quick.
You can also take a big bowl (biggest mixing bowl you have) of ice water...add like a half cup of
salt to the water....then arrange a fan to blow over the top of it. if you need to stack books and place the bowl on them in order to get it high enough, phone books work great.