89106 has 8 divisors (see below), whose sum is σ = 178224. Its totient is φ = 29700.

The previous prime is 89101. The next prime is 89107. The reversal of 89106 is 60198.

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

89106 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (89101) by changing a digit.

89106 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7420 + ... + 7431.

It is an arithmetic number, because the mean of its divisors is an integer number (22278).

2⁸⁹¹⁰⁶ is an apocalyptic number.

89106 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89112).

89106 is a wasteful number, since it uses less digits than its factorization.

89106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14856.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 89106 is about 298.5062813409. The cubic root of 89106 is about 44.6651691288.

The spelling of 89106 in words is "eighty-nine thousand, one hundred six".