Both Nikon S810c and Olympus TG-4 have 16.0 MP resolution sensors but Nikon S810c's sensor is 1/2.3' (6.17 x 4.55 mm ) and Olympus TG-4's sensor is (1/2. ).
Since Nikon S810c's has a larger sensor area with the same resolution, this means that it also has a larger pixel area hence better light collecting capacity for a given aperture compared to Olympus TG-4.
Below you can see the S810c and TG-4 sensor size comparison.
As seen above, Nikon S810c has a infx Larger sensor area than Olympus TG-4. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.