"Indestructible" is a song by Swedish recording artist Robyn, taken from her seventh studio album Body Talk (2010). The song was written by Robyn and Klas Åhlund, and produced by Åhlund. It was released as the lead single from Body Talk on 1 November 2010 in Sweden and one day later in the United States. The song was previously heard, in an acoustic form, as the final track on Body Talk Pt. 2, released in September 2010. The song was one of the first to be recorded for the Body Talk series, but Robyn saved it for later to give it a chance of becoming a single.

Body Talk is the seventh studio album by Swedish singer Robyn, released on 22 November 2010 by Konichiwa Records. Robyn first announced in early 2010 that she would release three mini-albums throughout the course of 2010. However, it was later announced that a full-length album would be released instead of a third mini-album. The first two mini-albums of what was dubbed the Body Talk series, Body Talk Pt. 1 and Body Talk Pt. 2, were released in June and September 2010. While being a separate studio album in its own right, the full-length release also serves as a compilation album, containing the "best songs" from the first two entries in the Body Talk series in addition to five new songs. In certain territories, the new songs were also available separately as an extended play released the same day, titled Body Talk Pt. 3. The four songs and two acoustic versions from the project that were excluded from the original track listing were later included on the German iTunes and 2019 Record Store Day vinyl versions of the album.