106688 has 14 divisors (see below), whose sum is σ = 211836. Its totient is φ = 53312.

The previous prime is 106681. The next prime is 106693. The reversal of 106688 is 886601.

It is a super-2 number, since 2×106688² = 22764658688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106688.

It is not an unprimeable number, because it can be changed into a prime (106681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 770 + ... + 897.

2¹⁰⁶⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

106688 is a deficient number, since it is larger than the sum of its proper divisors (105148).

106688 is an equidigital number, since it uses as much as digits as its factorization.

106688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 106688 is about 326.6312906015. The cubic root of 106688 is about 47.4284055320.

The spelling of 106688 in words is "one hundred six thousand, six hundred eighty-eight".