The British Motor Industry Heritage Trust has the car, a frostfire Rover 75, 1955cc 4-cylinder diesel, on display.
The Trust owns the car, which has gone on public display in the museum at the Heritage Motor Centre near Gaydon, Warwickshire.
It is likely this car will also be the last to be adorned with the Rover badge.
Almost 15 million cars were manufactured in the century since Rover Cars was founded by Herbert Austin. On April 8 this year MG Rover at Longbridge went into administration and car production stopped. Only a small group of skilled car workers was kept on at the plant over the summer to complete a number of unfinished vehicles, before the company was sold on to the Nanjing Automobile Corporation of China.
The Trust also owns the first Rover 75 car built under the company’s former owners BMW at Cowley Oxford in 2000.