108738 has 24 divisors (see below), whose sum is σ = 269568. Its totient is φ = 31032.

The previous prime is 108727. The next prime is 108739. The reversal of 108738 is 837801.

It is not an unprimeable number, because it can be changed into a prime (108739) 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 11 ways as a sum of consecutive naturals, for example, 306 + ... + 557.

It is an arithmetic number, because the mean of its divisors is an integer number (11232).

2¹⁰⁸⁷³⁸ is an apocalyptic number.

108738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

108738 is an abundant number, since it is smaller than the sum of its proper divisors (160830).

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

108738 is a wasteful number, since it uses less digits than its factorization.

108738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 108738 is about 329.7544541018. The cubic root of 108738 is about 47.7302578220.

The spelling of 108738 in words is "one hundred eight thousand, seven hundred thirty-eight".