We must research some before making an estimate.
A penny weighs 2.5 grams. Your weight is 116 pounds. Converting to kilograms:
116 pounds = 52.6 kilograms = 52600 grams
So your weight is 52600 ÷ 2.5 = 21040 pennies, or $210.40
A quarter is 1.75 mm tall. Your height is 5 feet + 6 inches. Converting to meters:
5 feet = 1524 mm
6 inch = 152.4 mm
Total height = 1524 + 152.4 = 1676.4 mm
Your height is 1676.4 ÷ 1.75 = 958 quarters, or $239.5
The stack of quarters is $239.5 - $210.40 = $29.10 more valuable than the pile of pennies.
Answer: A stack of quarters is more valuable than a pile of pennies.