45108 has 36 divisors (see below), whose sum is σ = 131040. Its totient is φ = 12816.

The previous prime is 45083. The next prime is 45119. The reversal of 45108 is 80154.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2⁴⁵¹⁰⁸ 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 45108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

45108 is an abundant number, since it is smaller than the sum of its proper divisors (85932).

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

45108 is a wasteful number, since it uses less digits than its factorization.

45108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 45108 is about 212.3864402451. The cubic root of 45108 is about 35.5973654575.

It can be divided in two parts, 45 and 108, that added together give a triangular number (153 = T₁₇).

The spelling of 45108 in words is "forty-five thousand, one hundred eight".