109688 has 8 divisors (see below), whose sum is σ = 205680. Its totient is φ = 54840.

The previous prime is 109673. The next prime is 109717. The reversal of 109688 is 886901.

109688 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 15.

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 109688.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6848 + ... + 6863.

It is an arithmetic number, because the mean of its divisors is an integer number (25710).

2¹⁰⁹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

109688 is a deficient number, since it is larger than the sum of its proper divisors (95992).

109688 is a wasteful number, since it uses less digits than its factorization.

109688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13717 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 109688 is about 331.1917873378. The cubic root of 109688 is about 47.8688549764.

It can be divided in two parts, 109 and 688, that added together give a palindrome (797).

The spelling of 109688 in words is "one hundred nine thousand, six hundred eighty-eight".