10980

10980 is a natural number that sits between 10979 and 10981. It is an even, composite integer whose arithmetic properties are straightforward to derive from its prime factorization.

The prime factorization of 10980 is 2^2 × 3^2 × 5 × 61. From this factorization, the number has 36 positive divisors. The sum of all divisors is 33852, which means the sum of its proper divisors is 22872; accordingly, 10980 is an abundant number because the proper divisors sum to more than the number itself. The digits of 10980 add up to 18, so the number is a Harshad (or Niven) number in base 10, and it is divisible by 9 and by 18, as well as by 36 (since 10980 = 36 × 305). It is also a multiple of 60, since 10980 = 60 × 183.

In terms of size, 10980 is closer to the nearby square 105^2 (11025) than to 104^2 (10816). Its factorization shows it is divisible by small primes as well as by 61, reflecting a rich divisor structure despite not being prime.