105111316 has 18 divisors (see below), whose sum is σ = 186011210. Its totient is φ = 51967440.

The previous prime is 105111299. The next prime is 105111319. The reversal of 105111316 is 613111501.

It can be written as a sum of positive squares in only one way, i.e., 96432400 + 8678916 = 9820^2 + 2946^2 .

It is a super-2 number, since 2×105111316² = 22096777502503712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105111293 and 105111302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105111319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 213831 + ... + 214321.

Almost surely, 2^105111316 is an apocalyptic number.

It is an amenable number.

105111316 is a deficient number, since it is larger than the sum of its proper divisors (80899894).

105111316 is an equidigital number, since it uses as much as digits as its factorization.

105111316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 105111316 is about 10252.3809917502. The cubic root of 105111316 is about 471.9360549685.

Adding to 105111316 its reverse (613111501), we get a palindrome (718222817).

The spelling of 105111316 in words is "one hundred five million, one hundred eleven thousand, three hundred sixteen".