101689 has 8 divisors (see below), whose sum is σ = 118400. Its totient is φ = 85536.

The previous prime is 101681. The next prime is 101693. The reversal of 101689 is 986101.

101689 is nontrivially palindromic in base 3.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101689 - 2³ = 101681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412 + ... + 610.

It is an arithmetic number, because the mean of its divisors is an integer number (14800).

2¹⁰¹⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

101689 is a deficient number, since it is larger than the sum of its proper divisors (16711).

101689 is an equidigital number, since it uses as much as digits as its factorization.

101689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279.

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 101689 is about 318.8871273664. The cubic root of 101689 is about 46.6757521993.

The spelling of 101689 in words is "one hundred one thousand, six hundred eighty-nine".