105314305 has 8 divisors (see below), whose sum is σ = 127496232. Its totient is φ = 83505408.

The previous prime is 105314299. The next prime is 105314311. The reversal of 105314305 is 503413501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105314299) and next prime (105314311).

It can be written as a sum of positive squares in 4 ways, for example, as 3041536 + 102272769 = 1744^2 + 10113^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105314305 - 2⁵ = 105314273 is a prime.

It is a super-2 number, since 2×105314305² = 22182205675266050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 92634 + ... + 93763.

It is an arithmetic number, because the mean of its divisors is an integer number (15937029).

Almost surely, 2^105314305 is an apocalyptic number.

It is an amenable number.

105314305 is a deficient number, since it is larger than the sum of its proper divisors (22181927).

105314305 is a wasteful number, since it uses less digits than its factorization.

105314305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186515.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 105314305 is about 10262.2758197195. The cubic root of 105314305 is about 472.2396576313.

Adding to 105314305 its reverse (503413501), we get a palindrome (608727806).

The spelling of 105314305 in words is "one hundred five million, three hundred fourteen thousand, three hundred five".