108009 has 12 divisors (see below), whose sum is σ = 170352. Its totient is φ = 65400.

The previous prime is 108007. The next prime is 108011. The reversal of 108009 is 900801.

108009 = 32³ + 33³ + 34³.

It is an interprime number because it is at equal distance from previous prime (108007) and next prime (108011).

It is not a de Polignac number, because 108009 - 2¹ = 108007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107982 and 108000.

It is not an unprimeable number, because it can be changed into a prime (108007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447 + ... + 644.

It is an arithmetic number, because the mean of its divisors is an integer number (14196).

2¹⁰⁸⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

108009 is a deficient number, since it is larger than the sum of its proper divisors (62343).

108009 is a wasteful number, since it uses less digits than its factorization.

108009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 108009 is about 328.6472272818. The cubic root of 108009 is about 47.6233543565.

The spelling of 108009 in words is "one hundred eight thousand, nine".