The two square numbers that sum to 106 are 36 and 70, which can be expressed as (6^2) and (8.37^2). However, since 70 is not a perfect square, it is more accurate to say that there are no two perfect square numbers that add up to 106. The perfect squares less than 106 are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100, and none of their combinations yield 106.
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