109908 has 36 divisors (see below), whose sum is σ = 288288. Its totient is φ = 35280.

The previous prime is 109903. The next prime is 109913. The reversal of 109908 is 809901.

It is an interprime number because it is at equal distance from previous prime (109903) and next prime (109913).

It is a tau number, because it is divible by the number of its divisors (36).

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 109908.

It is not an unprimeable number, because it can be changed into a prime (109903) by changing a digit.

109908 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, 1513 + ... + 1583.

It is an arithmetic number, because the mean of its divisors is an integer number (8008).

2¹⁰⁹⁹⁰⁸ is an apocalyptic number.

109908 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 109908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144144).

109908 is an abundant number, since it is smaller than the sum of its proper divisors (178380).

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

109908 is a wasteful number, since it uses less digits than its factorization.

109908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 109908 is about 331.5237548050. The cubic root of 109908 is about 47.9008369471.

The spelling of 109908 in words is "one hundred nine thousand, nine hundred eight".