This bug is around 1 centimeter or less. I am finding them inside and out this summer. I didn’t see any of these last year. I’m in the upper metro Detroit area. This one’s missing his back right leg.
Your photo is of one of the Ectobius spp. of cockroaches, probably the tawny cockroach.
This genus of cockroaches have been introduced to this continent from Europe and are found in the northeast part of the country. The tawny roach was first noticed in 1985.
There is little information about them, so evidently they are not economic pests.
These feed on compost or other insects.
They are small.