105312010 has 8 divisors (see below), whose sum is σ = 189561636. Its totient is φ = 42124800.

The previous prime is 105311971. The next prime is 105312017. The reversal of 105312010 is 10213501.

It can be written as a sum of positive squares in 2 ways, for example, as 85322169 + 19989841 = 9237^2 + 4471^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105312010² = 22181238900480200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105312017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5265591 + ... + 5265610.

Almost surely, 2^105312010 is an apocalyptic number.

105312010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105312010 is a deficient number, since it is larger than the sum of its proper divisors (84249626).

105312010 is a wasteful number, since it uses less digits than its factorization.

105312010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10531208.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 105312010 is about 10262.1640018078. The cubic root of 105312010 is about 472.2362272714.

Adding to 105312010 its reverse (10213501), we get a palindrome (115525511).

The spelling of 105312010 in words is "one hundred five million, three hundred twelve thousand, ten".