Okay, so, in an IRC conversation, the concept of Mr. Dicks came up. I did some quick maths, came up with the number of 101, and someone said he thought that the number was over 200. So I threw all sense of fiscal responsibility out the window.

Take a male character (that's one penis,)

Give him the Cybertaker positive quality (-10% Essence cost.)

Give him EPE Adapsin before any other augmentations (-10% Essence cost.)

Give him two Deltaware Obvious Full Cyberlimbs, Bulky (rating 4) (Capacity 19x2)

Give him two Deltaware Obvious Full Cyberlegs, Bulky (rating 4) (Capacity 24x2)

Give him a Deltaware Obvious Cybertorso, Bulky (rating 4) (Capacity 14)

Give him a Deltaware Obvious Cyberskull, Bulky (rating 2) (Capacity 6)

Between Delta, Adapsin and Cybertaker, this guy has spent 1.88 Essence on Cyber, and 0.2 Essence on EPE Adapsin. He has 106 Capacity distributed head-to-toe, all of which is spent on Penile Implants.

He has 4.02 Essence remaining, allowing him to fit 50 additional Deltaware Penile Implants, at an essence cost of 0.08 each; 4 total, leaving him with a total Essence remaining of 0.02.

Thus he has 1 (natural) + 106 (Capacity) + 50 (Essence) = 157 penises. I don't think it's possible to get any more on a character, and he already costs 5,620,000 .