10306 has 4 divisors (see below), whose sum is σ = 15462. Its totient is φ = 5152.

The previous prime is 10303. The next prime is 10313. The reversal of 10306 is 60301.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 60301 = 47 ⋅1283.

It can be written as a sum of positive squares in only one way, i.e., 8281 + 2025 = 91^2 + 45^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10292 and 10301.

It is not an unprimeable number, because it can be changed into a prime (10301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2575 + ... + 2578.

2¹⁰³⁰⁶ is an apocalyptic number.

10306 is a deficient number, since it is larger than the sum of its proper divisors (5156).

10306 is an equidigital number, since it uses as much as digits as its factorization.

10306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5155.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 10306 is about 101.5184712257. The cubic root of 10306 is about 21.7618951096.

Subtracting from 10306 its sum of digits (10), we obtain a triangular number (10296 = T₁₄₃).

Adding to 10306 its reverse (60301), we get a palindrome (70607).

The spelling of 10306 in words is "ten thousand, three hundred six".