Silicon is among the most applicable semiconductors. Apart from its use in Solar Cells, it has applications in numerous other fields such as manufacture of multipurpose alloys, silicones, silanes, silicone rubber (used as waterproof sealant), and so on. The hyperpure form of silicon is used extensively as a semiconductor in solid-state electronic devices; computers and microelectronics industries. Its semiconductor property also finds its forefront applications in optoelectronics and integrated circuits.
The micro and nano-electronics are based on silicon. One of the reasons is that the interface Si/SiO2 is easily formed with very good properties, i.e. low defects.
Silicon is the material at the base of any CMOS based electronic system nowadays. However in this case, the main aspect that makes Silicon the most used semiconductor is not linked to its electrical properties (mobility, band-gap,...) but to the fact that the manufacturing technologies of silicon based devices are well developed and its mechanical properties are quite good. So it's mostly a matter of stability and cost, this is not directly linked to its indirect band-gap.