105532 has 12 divisors (see below), whose sum is σ = 211120. Its totient is φ = 45216.

The previous prime is 105529. The next prime is 105533. The reversal of 105532 is 235501.

105532 is an admirable number.

It is a super-2 number, since 2×105532² = 22274006048, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 1857 + ... + 1912.

2¹⁰⁵⁵³² is an apocalyptic number.

It is an amenable number.

105532 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105532 is a wasteful number, since it uses less digits than its factorization.

105532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 105532 is about 324.8568915692. The cubic root of 105532 is about 47.2564822252.

The spelling of 105532 in words is "one hundred five thousand, five hundred thirty-two".