As per title, a bluetooth mouse for $27.20. Logitech website says it has 10 months battery life. Seems like they have plenty in stock, five of them still available at JB Hi-Fi World Square (SYD).
Dimensions (height x width x depth): 61.1 mm (2.4 in) x 100.5 mm (3.96 in) x 33.0 mm (1.3 in)
Mouse Weight: 82 g
Battery: 1 x AA
Battery Life: 10 months
I had a Bluetooth mouse once. I thought it's a good idea. I don't think so any more.