Bender's room number is 00100100. This translates to the decimal number 36 or "$" in ASCII (American Standard Code for Information Interchange). The rooms next to Bender's do not follow a standard binary pattern, however.
After having shown some initial scripts to Fox, the company asked the writers for a more down to Earth episode. The idea of the episode was to satisfy this need. The script tried to distance itself from things that had scared the Fox people off, such as suicide booths, lobster creatures and Bender being anti-social. Unfortunately, their reaction to the script was "Worst. Episode. Ever". As a result of the initial criticism, the show runners decided from thereon, they wanted to do the show they wanted.
After Fry wakes up on the table Bender takes his alarm clock, bends it and leaves it on the edge of the table. It is a reference to Salvador Dalí's painting "The Persistence of Memory."
The episode title is a refrence to "I, Robot", a collection of nine science fiction short stories written by Russian-American biochemist Isaac Asimov, PhD published between 1940 and 1950.
The second apartment the gang looks at, the Unique Architecture one, emulates the 1953 lithograph print "Relativity" by M.C. Escher. This same print was used to model the crazy stair sequnce in Labyrinth (1986).