105315264 has 42 divisors (see below), whose sum is σ = 301868840. Its totient is φ = 35104896.

The previous prime is 105315257. The next prime is 105315311. The reversal of 105315264 is 462513501.

105315264 is a `hidden beast` number, since 105 + 31 + 526 + 4 = 666.

It is a super-2 number, since 2×105315264² = 22182609662779392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90844 + ... + 91995.

Almost surely, 2^105315264 is an apocalyptic number.

It is an amenable number.

105315264 is an abundant number, since it is smaller than the sum of its proper divisors (196553576).

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

105315264 is a wasteful number, since it uses less digits than its factorization.

105315264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182857 (or 182844 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105315264 is about 10262.3225441417. The cubic root of 105315264 is about 472.2410910436.

Adding to 105315264 its reverse (462513501), we get a palindrome (567828765).

The spelling of 105315264 in words is "one hundred five million, three hundred fifteen thousand, two hundred sixty-four".