k^2 for k > 10
11^2, 12^2, 13^2, 14^2, ...
121, 144, 169, 196, ...
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64 and 36.
How about: 100-64 = 36 as one example
Perfect squares have odd numbers of factors. The perfect squares less than 100 are: 1,4,9,16,25,36,49,64,81,100. 64 seems to fit both criteria.
121 and 196
Math can be a fun subject to learn. In a 10 by 10 grid there can be up to 100 perfect squares.