80106 has 24 divisors (see below), whose sum is σ = 175680. Its totient is φ = 24336.

The previous prime is 80077. The next prime is 80107. The reversal of 80106 is 60108.

It is not an unprimeable number, because it can be changed into a prime (80107) by changing a digit.

80106 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 975 + ... + 1053.

It is an arithmetic number, because the mean of its divisors is an integer number (7320).

2⁸⁰¹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87840).

80106 is an abundant number, since it is smaller than the sum of its proper divisors (95574).

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

80106 is a wasteful number, since it uses less digits than its factorization.

80106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 80106 is about 283.0300337420. The cubic root of 80106 is about 43.1077162413.

The spelling of 80106 in words is "eighty thousand, one hundred six".