Assuming that your correct model number has an extra 7, 106.57577790, your Kenmore side by side refrigerator has a capacity of 25 cu ft. If that isn't your correct model number, please ask your question again.
Because of its age, we don't have the exact outside the dimensions for that older refrigerator available. It likely has these approximate dimensions:
Width -- 35 1/2"
Height -- 69 1/2" (with hinges)
Depth -- 33 3/4" (with handles)
Here is the direct replacement Kenmore side-by-side model: sears.com/kenmore-50043-25-cu-ft-side-by-side/p-04650043000P?rrec=true
The dimensions of the current Kenmore model and your Kenmore are approximately the same.
All refrigerators: sears.com/appliances-refrigerators/b-1020022?searsTab=true
Hope this helps!