105588 has 36 divisors (see below), whose sum is σ = 305760. Its totient is φ = 30096.

The previous prime is 105563. The next prime is 105601. The reversal of 105588 is 885501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105588² = 22297651488, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105588.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43 + ... + 461.

2¹⁰⁵⁵⁸⁸ is an apocalyptic number.

105588 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152880).

105588 is an abundant number, since it is smaller than the sum of its proper divisors (200172).

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

105588 is a wasteful number, since it uses less digits than its factorization.

105588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 105588 is about 324.9430719372. The cubic root of 105588 is about 47.2648395482.

The spelling of 105588 in words is "one hundred five thousand, five hundred eighty-eight".