108654 has 32 divisors (see below), whose sum is σ = 268800. Its totient is φ = 28512.

The previous prime is 108649. The next prime is 108677. The reversal of 108654 is 456801.

It is a Curzon number.

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 108654.

It is an unprimeable number.

108654 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 15 ways as a sum of consecutive naturals, for example, 447 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2¹⁰⁸⁶⁵⁴ is an apocalyptic number.

108654 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134400).

108654 is an abundant number, since it is smaller than the sum of its proper divisors (160146).

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

108654 is a wasteful number, since it uses less digits than its factorization.

108654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 108654 is about 329.6270619958. The cubic root of 108654 is about 47.7179641298.

The spelling of 108654 in words is "one hundred eight thousand, six hundred fifty-four".