The calculated distance (air line) between Katyr-Yurt and Makhachkala is approximately 108 miles respectively 175 kilometers.
By car or train, the actual journey to Makhachkala is certainly longer, as only the direct route (as the crow flies) between Katyr-Yurt and Makhachkala has been calculated here.
Air line (approximately)
175 kilometers
94 nautical miles