105313264 has 20 divisors (see below), whose sum is σ = 233193904. Its totient is φ = 45134208.

The previous prime is 105313223. The next prime is 105313291. The reversal of 105313264 is 462313501.

It is a super-2 number, since 2×105313264² = 22181767148667392, 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 3 ways as a sum of consecutive naturals, for example, 470037 + ... + 470260.

Almost surely, 2^105313264 is an apocalyptic number.

105313264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105313264 is an abundant number, since it is smaller than the sum of its proper divisors (127880640).

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

105313264 is an equidigital number, since it uses as much as digits as its factorization.

105313264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940312 (or 940306 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 105313264 is about 10262.2250998504. The cubic root of 105313264 is about 472.2381016442.

Adding to 105313264 its reverse (462313501), we get a palindrome (567626765).

The spelling of 105313264 in words is "one hundred five million, three hundred thirteen thousand, two hundred sixty-four".