105530 has 16 divisors (see below), whose sum is σ = 194184. Its totient is φ = 41280.

The previous prime is 105529. The next prime is 105533. The reversal of 105530 is 35501.

It can be written as a sum of positive squares in 4 ways, for example, as 78961 + 26569 = 281^2 + 163^2 .

It is a super-2 number, since 2×105530² = 22273161800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524 + ... + 696.

2¹⁰⁵⁵³⁰ is an apocalyptic number.

105530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105530 is a deficient number, since it is larger than the sum of its proper divisors (88654).

105530 is a wasteful number, since it uses less digits than its factorization.

105530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241.

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 105530 is about 324.8538132761. The cubic root of 105530 is about 47.2561836947.

The spelling of 105530 in words is "one hundred five thousand, five hundred thirty".