Sorry, I must have missed your original message.
I have to admit to being puzzled by both your photos. The first photo actually reminds me of a Notocactus not a Mammillaria, but I can't see clearly enough if it has axils at the base of the tubercles or not. If it is a Mamm, then its not a normal form, and I would struggle to name it, but suggest that it might be one of the Polyacanthae, but no closer than that.
Photo 2 should a plant that is much taller than wide. There are some tall growing Mamms, but none are like the one you show. I suspect that it has been grown in poor light, and has changed its shape. It is difficult to know therefore if the spination is typical or not, but I would suggest that it might be M. haageana or M. albilanata in need of a lot of TLC.
When you are taking photos to help with identification, it is helpful to show the plant from the side as well as the top, and also if possible, depending on the sharpness of the main photos, show a spine cluster, and also say if there have been flowers, and if so any details of colour or shape would be helpful. This is especially needed if the plants don't really seem to conform to any of well known species.