105315368 has 16 divisors (see below), whose sum is σ = 197577780. Its totient is φ = 52627968.

The previous prime is 105315317. The next prime is 105315373. The reversal of 105315368 is 863513501.

It can be written as a sum of positive squares in 2 ways, for example, as 105308644 + 6724 = 10262^2 + 82^2 .

It is a super-2 number, since 2×105315368² = 22182653473950848, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21080 + ... + 25592.

Almost surely, 2^105315368 is an apocalyptic number.

It is an amenable number.

105315368 is a deficient number, since it is larger than the sum of its proper divisors (92262412).

105315368 is a wasteful number, since it uses less digits than its factorization.

105315368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7436 (or 7432 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 105315368 is about 10262.3276112196. The cubic root of 105315368 is about 472.2412464913.

Adding to 105315368 its reverse (863513501), we get a palindrome (968828869).

The spelling of 105315368 in words is "one hundred five million, three hundred fifteen thousand, three hundred sixty-eight".