105580 has 12 divisors (see below), whose sum is σ = 221760. Its totient is φ = 42224.

The previous prime is 105563. The next prime is 105601. The reversal of 105580 is 85501.

105580 = T₂₀₃ + T₂₀₄ + ... + T₂₀₇.

It is a super-3 number, since 3×105580³ = 3530743983336000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2620 + ... + 2659.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2¹⁰⁵⁵⁸⁰ is an apocalyptic number.

105580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105580 is an abundant number, since it is smaller than the sum of its proper divisors (116180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105580 is a wasteful number, since it uses less digits than its factorization.

105580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 105580 is about 324.9307618555. The cubic root of 105580 is about 47.2636458259.

The spelling of 105580 in words is "one hundred five thousand, five hundred eighty".