106689 has 16 divisors (see below), whose sum is σ = 160704. Its totient is φ = 62400.

The previous prime is 106681. The next prime is 106693. The reversal of 106689 is 986601.

It is not a de Polignac number, because 106689 - 2³ = 106681 is a prime.

It is a super-2 number, since 2×106689² = 22765085442, which contains 22 as substring.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1719 + ... + 1779.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2¹⁰⁶⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

106689 is a deficient number, since it is larger than the sum of its proper divisors (54015).

106689 is a wasteful number, since it uses less digits than its factorization.

106689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 106689 is about 326.6328213759. The cubic root of 106689 is about 47.4285537157.

The spelling of 106689 in words is "one hundred six thousand, six hundred eighty-nine".