106989 has 8 divisors (see below), whose sum is σ = 150240. Its totient is φ = 67536.

The previous prime is 106979. The next prime is 106993. The reversal of 106989 is 989601.

106989 = 105² + 106² + ... + 113².

It is a happy number.

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

It is not a de Polignac number, because 106989 - 2⁵ = 106957 is a prime.

It is a super-2 number, since 2×106989² = 22893292242, which contains 22 as substring.

106989 is a lucky number.

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 106989.

It is not an unprimeable number, because it can be changed into a prime (106949) 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, 882 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (18780).

2¹⁰⁶⁹⁸⁹ is an apocalyptic number.

106989 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

106989 is a deficient number, since it is larger than the sum of its proper divisors (43251).

106989 is a wasteful number, since it uses less digits than its factorization.

106989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899.

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 106989 is about 327.0917302532. The cubic root of 106989 is about 47.4729670742.

The spelling of 106989 in words is "one hundred six thousand, nine hundred eighty-nine".