105316 has 12 divisors (see below), whose sum is σ = 186732. Its totient is φ = 51968.

The previous prime is 105277. The next prime is 105319. The reversal of 105316 is 613501.

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 96100 = 96^2 + 310^2 .

It is a super-2 number, since 2×105316² = 22182919712, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 105316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 336 + ... + 568.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2¹⁰⁵³¹⁶ is an apocalyptic number.

It is an amenable number.

105316 is a deficient number, since it is larger than the sum of its proper divisors (81416).

105316 is a wasteful number, since it uses less digits than its factorization.

105316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 105316 is about 324.5242671974. The cubic root of 105316 is about 47.2242191133.

Adding to 105316 its reverse (613501), we get a palindrome (718817).

The spelling of 105316 in words is "one hundred five thousand, three hundred sixteen".