How many 100 sq km bounding boxes cover the surface are of the earth.

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I need to figure out how many 100 square km bounding boxes cover the surface area of the earth. I'm trying to use the Instagram API to download data. Their API supports a lat/long with a maximum distance of 5 km. So I have an algorithm that given a lat/long and offset, can move the boundary left or up until all the surface area of earth is covered.