102309 has 8 divisors (see below), whose sum is σ = 138720. Its totient is φ = 67056.

The previous prime is 102301. The next prime is 102317. The reversal of 102309 is 903201.

It is an interprime number because it is at equal distance from previous prime (102301) and next prime (102317).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102309 - 2³ = 102301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (17340).

2¹⁰²³⁰⁹ is an apocalyptic number.

It is an amenable number.

102309 is a deficient number, since it is larger than the sum of its proper divisors (36411).

102309 is an equidigital number, since it uses as much as digits as its factorization.

102309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 102309 is about 319.8577808964. The cubic root of 102309 is about 46.7704210784.

The spelling of 102309 in words is "one hundred two thousand, three hundred nine".