108306 has 24 divisors (see below), whose sum is σ = 256464. Its totient is φ = 32760.

The previous prime is 108301. The next prime is 108343. The reversal of 108306 is 603801.

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

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (108301) 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, 76 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (10686).

2¹⁰⁸³⁰⁶ is an apocalyptic number.

108306 is an abundant number, since it is smaller than the sum of its proper divisors (148158).

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

108306 is a wasteful number, since it uses less digits than its factorization.

108306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 108306 is about 329.0987693687. The cubic root of 108306 is about 47.6669655112. Note that the first 3 decimals are identical.

It can be divided in two parts, 10830 and 6, that multiplied together give a triangular number (64980 = T₃₆₀).

The spelling of 108306 in words is "one hundred eight thousand, three hundred six".