42108 has 36 divisors (see below), whose sum is σ = 111720. Its totient is φ = 12320.

The previous prime is 42101. The next prime is 42131. The reversal of 42108 is 80124.

42108 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1438 + ... + 1466.

2⁴²¹⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55860).

42108 is an abundant number, since it is smaller than the sum of its proper divisors (69612).

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

42108 is a wasteful number, since it uses less digits than its factorization.

42108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 42108 is about 205.2023391680. The cubic root of 42108 is about 34.7900354612.

It can be divided in two parts, 4 and 2108, that added together give a palindrome (2112).

The spelling of 42108 in words is "forty-two thousand, one hundred eight".