105688 has 16 divisors (see below), whose sum is σ = 216360. Its totient is φ = 48000.

The previous prime is 105683. The next prime is 105691. The reversal of 105688 is 886501.

It is a happy number.

It is a super-2 number, since 2×105688² = 22339906688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105683) 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, 513 + ... + 688.

2¹⁰⁵⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

105688 is an abundant number, since it is smaller than the sum of its proper divisors (110672).

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

105688 is a wasteful number, since it uses less digits than its factorization.

105688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 105688 is about 325.0969086288. The cubic root of 105688 is about 47.2797559927.

The spelling of 105688 in words is "one hundred five thousand, six hundred eighty-eight".