108642 has 16 divisors (see below), whose sum is σ = 228960. Its totient is φ = 34272.

The previous prime is 108637. The next prime is 108643. The reversal of 108642 is 246801.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (108643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (14310).

2¹⁰⁸⁶⁴² is an apocalyptic number.

108642 is an abundant number, since it is smaller than the sum of its proper divisors (120318).

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

108642 is a wasteful number, since it uses less digits than its factorization.

108642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 108642 is about 329.6088591042. The cubic root of 108642 is about 47.7162073708.

It can be divided in two parts, 1086 and 42, that added together give a triangular number (1128 = T₄₇).

The spelling of 108642 in words is "one hundred eight thousand, six hundred forty-two".