100688 has 40 divisors (see below), whose sum is σ = 238080. Its totient is φ = 40320.

The previous prime is 100673. The next prime is 100693. The reversal of 100688 is 886001.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

100688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3233 + ... + 3263.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

2¹⁰⁰⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040).

100688 is an abundant number, since it is smaller than the sum of its proper divisors (137392).

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

100688 is a wasteful number, since it uses less digits than its factorization.

100688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 100688 is about 317.3137248844. The cubic root of 100688 is about 46.5220922502.

Adding to 100688 its reverse (886001), we get a palindrome (986689).

The spelling of 100688 in words is "one hundred thousand, six hundred eighty-eight".