Describe the major differences between the ecological niches of humans and cockroaches. Are these two species in competition? If so, how do they manage to coexist?

(Essay) Describe the major differences between the ecological niches of humans and cockroaches. Are these two species competition?
Humans: large omnivorous animals, apex predator in many ecosystems
Cockroaches: small detrivores.

Humans: Sleep at night.
Cockroaches: Spend daytime hidden away, preferably in dark crevices.

Humans: Extensively modify the environment.
Cockroaches: Some species can burrow.

Are these two species in competition?
No. Our diets overlap a bit (e.g. stored grains), but we exploit food sources that cockroaches can't, and vice versa. We do not compete for homesites or mates at all.