108612 has 36 divisors (see below), whose sum is σ = 314496. Its totient is φ = 30960.

The previous prime is 108587. The next prime is 108631. The reversal of 108612 is 216801.

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 an Ulam number.

It is a plaindrome in base 15.

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, 37 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

108612 is a Friedman number, since it can be written as 18102*6, using all its digits and the basic arithmetic operations.

2¹⁰⁸⁶¹² is an apocalyptic number.

108612 is a gapful number since it is divisible by the number (12) 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 108612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

108612 is an abundant number, since it is smaller than the sum of its proper divisors (205884).

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

108612 is a wasteful number, since it uses less digits than its factorization.

108612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 108612 is about 329.5633474766. The cubic root of 108612 is about 47.7118149075.

The spelling of 108612 in words is "one hundred eight thousand, six hundred twelve".