This digital camera supports an SDHC|SDXC memory card, which is the most commonly supported memory card on digital cameras of a comparable type and age to it. SD cards are by far the most common type of memory card. They are compatible with the majority of digital cameras.
We think you might also be interested in some of the alternative cameras that support an SDHC|SDXC memory currently available including because of it's better review score, the WB150[pl_1682907_price], the WB850F[pl_1413690_price], or the WB200F[pl_2071998_price] all from Samsung.
If the memory card type of this Olympus camera is not good enough for you then you might want to consider the Fujifilm FinePix X10[plb_1150_price] (SD|SDHC|SDXC and higher rated), or the Nikon 1 J2[plb_1907086_price] (SD|SDHC|SDXC and higher rated).