• 108 can be written using four 4's:

108 has 12 divisors (see below), whose sum is σ = 280. Its totient is φ = 36.

The previous prime is 107. The next prime is 109. The reversal of 108 is 801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

108 is nontrivially palindromic in base 11.

108 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (107) and next prime (109).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a tetranacci number.

108 is strictly pandigital in base 4.

108 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11, base 14 and base 16.

It is a nialpdrome in base 3, base 6, base 11, base 12, base 13 and base 15.

It is a zygodrome in base 3 and base 11.

It is a self number, because there is not a number *n* which added to its sum of digits gives 108.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35 + 36 + 37.

108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140).

108 is an abundant number, since it is smaller than the sum of its proper divisors (172).

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

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

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

The sum of its prime factors is 13 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 108 is about 10.3923048454. The cubic root of 108 is about 4.7622031559.

Adding to 108 its reverse (801), we get a palindrome (909).

The spelling of 108 in words is "one hundred eight", and thus it is an aban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.123 sec. • engine limits •