A natural way of unclogging a toilet if a plunger or auger will not clear the clog is to pour some baking soda into the toilet and then pour about 2 cups of vinegar into the toilet after the baking soda.
The baking soda and vinegar will react together to dissolve hair and most other clogs in the toilet.
Depending on how bad the clog is it may take 30 minutes to an hour for the vinegar and baking soda to clear the clog.
You can also buy some chemicals at the store that clears drains such as Green Gobbler Powder Plunger which will dissolve most things in the toilet.