105306 has 8 divisors (see below), whose sum is σ = 210624. Its totient is φ = 35100.

The previous prime is 105277. The next prime is 105319. The reversal of 105306 is 603501.

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

105306 is an admirable number.

It is a super-2 number, since 2×105306² = 22178707272, which contains 22 as substring.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8770 + ... + 8781.

It is an arithmetic number, because the mean of its divisors is an integer number (26328).

2¹⁰⁵³⁰⁶ is an apocalyptic number.

105306 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105306 is a wasteful number, since it uses less digits than its factorization.

105306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17556.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 105306 is about 324.5088596633. The cubic root of 105306 is about 47.2227243827. Note that the first 3 decimals are identical.

Adding to 105306 its reverse (603501), we get a palindrome (708807).

The spelling of 105306 in words is "one hundred five thousand, three hundred six".