102306 has 24 divisors (see below), whose sum is σ = 221040. Its totient is φ = 31552.

The previous prime is 102301. The next prime is 102317. The reversal of 102306 is 603201.

102306 = 9² + 10² + ... + 67².

102306 is nontrivially palindromic in base 5.

It is an Ulam number.

102306 is a modest number, since divided by 306 gives 102 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102291 and 102300.

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

102306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1705 + ... + 1763.

It is an arithmetic number, because the mean of its divisors is an integer number (9210).

2¹⁰²³⁰⁶ is an apocalyptic number.

102306 is an abundant number, since it is smaller than the sum of its proper divisors (118734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102306 is a wasteful number, since it uses less digits than its factorization.

102306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102306 is about 319.8530912779. The cubic root of 102306 is about 46.7699639253.

Adding to 102306 its reverse (603201), we get a palindrome (705507).

The spelling of 102306 in words is "one hundred two thousand, three hundred six".