108129 has 16 divisors (see below), whose sum is σ = 174080. Its totient is φ = 58320.

The previous prime is 108127. The next prime is 108131. The reversal of 108129 is 921801.

It is an interprime number because it is at equal distance from previous prime (108127) and next prime (108131).

It is not a de Polignac number, because 108129 - 2¹ = 108127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a Curzon number.

108129 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (10880).

2¹⁰⁸¹²⁹ is an apocalyptic number.

108129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

108129 is a deficient number, since it is larger than the sum of its proper divisors (65951).

108129 is a wasteful number, since it uses less digits than its factorization.

108129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300.

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 108129 is about 328.8297431803. The cubic root of 108129 is about 47.6409846386.

The spelling of 108129 in words is "one hundred eight thousand, one hundred twenty-nine".