103509 has 24 divisors (see below), whose sum is σ = 179712. Its totient is φ = 56160.

The previous prime is 103483. The next prime is 103511. The reversal of 103509 is 905301.

It is not a de Polignac number, because 103509 - 2¹³ = 95317 is a prime.

It is a super-2 number, since 2×103509² = 21428226162, which contains 22 as substring.

103509 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 103491 and 103500.

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 103509.

It is not an unprimeable number, because it can be changed into a prime (103529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1927 + ... + 1979.

It is an arithmetic number, because the mean of its divisors is an integer number (7488).

2¹⁰³⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

103509 is a deficient number, since it is larger than the sum of its proper divisors (76203).

103509 is a wasteful number, since it uses less digits than its factorization.

103509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 103509 is about 321.7281461110. The cubic root of 103509 is about 46.9525702302.

The spelling of 103509 in words is "one hundred three thousand, five hundred nine".