A 107-sided polygon is called a heptacontaheptagon. The naming convention for polygons uses Greek numerical prefixes to indicate the number of sides. In this case, "hepta" means seven and "conta" means ten, so "heptacontaheptagon" signifies a polygon with 107 sides.
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It's quite acceptable to call it a 107-agon but what's more important is knowing how to work out its properties.
The 22 sided shape is called a: ICOSIKAIDIGON
Hommasquabblelagagon
A five-sided shape is called a pentagon.
A 10-sided shape is called a decagon.
It is called a megagon. A ∞ sided shape is called an apeirogon.