105413312 has 14 divisors (see below), whose sum is σ = 209179668. Its totient is φ = 52706624.

The previous prime is 105413261. The next prime is 105413317. The reversal of 105413312 is 213314501.

It is a super-2 number, since 2×105413312² = 22223932693618688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105413317) by changing a digit.

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 as a sum of consecutive naturals, namely, 823478 + ... + 823605.

Almost surely, 2^105413312 is an apocalyptic number.

It is an amenable number.

105413312 is a deficient number, since it is larger than the sum of its proper divisors (103766356).

105413312 is an equidigital number, since it uses as much as digits as its factorization.

105413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647095 (or 1647085 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 105413312 is about 10267.0985190559. The cubic root of 105413312 is about 472.3875969760.

Adding to 105413312 its reverse (213314501), we get a palindrome (318727813).

The spelling of 105413312 in words is "one hundred five million, four hundred thirteen thousand, three hundred twelve".