108735 has 16 divisors (see below), whose sum is σ = 190080. Its totient is φ = 52640.

The previous prime is 108727. The next prime is 108739. The reversal of 108735 is 537801.

It is not a de Polignac number, because 108735 - 2³ = 108727 is a prime.

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 108735.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2¹⁰⁸⁷³⁵ is an apocalyptic number.

108735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

108735 is a deficient number, since it is larger than the sum of its proper divisors (81345).

108735 is a wasteful number, since it uses less digits than its factorization.

108735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 108735 is about 329.7499052312. The cubic root of 108735 is about 47.7298188706.

It can be divided in two parts, 10873 and 5, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 108735 in words is "one hundred eight thousand, seven hundred thirty-five".