105989 has 8 divisors (see below), whose sum is σ = 118272. Its totient is φ = 94320.

The previous prime is 105983. The next prime is 105997. The reversal of 105989 is 989501.

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 105989 - 2⁸ = 105733 is a prime.

It is a super-2 number, since 2×105989² = 22467336242, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105983) 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, 272 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (14784).

2¹⁰⁵⁹⁸⁹ is an apocalyptic number.

It is an amenable number.

105989 is a deficient number, since it is larger than the sum of its proper divisors (12283).

105989 is a wasteful number, since it uses less digits than its factorization.

105989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307.

The product of its (nonzero) digits is 3240, while the sum is 32.

The square root of 105989 is about 325.5595183680. The cubic root of 105989 is about 47.3245977840.

The spelling of 105989 in words is "one hundred five thousand, nine hundred eighty-nine".