101309 has 4 divisors (see below), whose sum is σ = 109116. Its totient is φ = 93504.

The previous prime is 101293. The next prime is 101323. The reversal of 101309 is 903101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 903101 = 757 ⋅1193.

It can be written as a sum of positive squares in 2 ways, for example, as 62500 + 38809 = 250^2 + 197^2 .

It is a cyclic number.

It is not a de Polignac number, because 101309 - 2⁴ = 101293 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 101293 and 101302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101359) 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 3 ways as a sum of consecutive naturals, for example, 3884 + ... + 3909.

It is an arithmetic number, because the mean of its divisors is an integer number (27279).

2¹⁰¹³⁰⁹ is an apocalyptic number.

It is an amenable number.

101309 is a deficient number, since it is larger than the sum of its proper divisors (7807).

101309 is an equidigital number, since it uses as much as digits as its factorization.

101309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7806.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 101309 is about 318.2907475878. The cubic root of 101309 is about 46.6175390027.

The spelling of 101309 in words is "one hundred one thousand, three hundred nine".