"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.

According to Robyn, "Indestructible" describes how meeting new people and falling in love can be scary and fun at the same time. The song is a synthpop ballad with string sounds, pulsing bass and an electronic arrangement. The song was met with generally positive reviews from critics, who praised its production and Robyn's songwriting. It reached number four on the Sverigetopplistan chart, becoming Robyn's ninth top ten hit in her native country. It charted moderately elsewhere, reaching number thirteen in Denmark and number twenty-one on the UK Dance Chart.

The accompanying music video was directed by Max Vitali and Nils Ljunggren. It shows scenes of couples having sex, and cutscenes of Robyn wearing a special designed dress featuring tubes with colored liquid. Robyn wanted to make the video to show the truth about sex. The dress was designed by Lucy McRae, who specializes in "body architecture". An advanced machine was built to control the flow of the liquid and a kilometre of tubes were used. The video received positive reviews from critics, who called it honest and intriguing. Robyn performed the song at the 2010 Nobel Peace Prize Concert.

"Indestructible" was written by Robyn and Klas Åhlund with production done by the latter. The song was recorded at a studio named Apmamman, in . The strings in the song were arranged by Carl Bagge, and played by various cello and violin players. The song alongside "Hang with Me" were among the first songs to be recorded for the Body Talk series, and Robyn said that she saved them for a later release because "[she] knew they would be singles, or could be singles, and [she] wanted them to get that chance." Robyn described the song to The Macomb Daily as "a love song ... about what you can do in a club". In an interview with MTV News, she elaborated on the song's theme and message, saying, "I think 'Indestructible' is a song that talks about what happens when you meet new people and fall in love, and how that can be scary and fun at the same time."

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