105212065 has 24 divisors (see below), whose sum is σ = 155512872. Its totient is φ = 67898880.

The previous prime is 105212039. The next prime is 105212071. The reversal of 105212065 is 560212501.

It can be written as a sum of positive squares in 4 ways, for example, as 6964321 + 98247744 = 2639^2 + 9912^2 .

It is not a de Polignac number, because 105212065 - 2⁷ = 105211937 is a prime.

It is a super-2 number, since 2×105212065² = 22139157243128450, which contains 22 as substring.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 8466 + ... + 16795.

It is an arithmetic number, because the mean of its divisors is an integer number (6479703).

Almost surely, 2^105212065 is an apocalyptic number.

It is an amenable number.

105212065 is a deficient number, since it is larger than the sum of its proper divisors (50300807).

105212065 is a wasteful number, since it uses less digits than its factorization.

105212065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25297 (or 25290 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105212065 is about 10257.2932589451. The cubic root of 105212065 is about 472.0867900946.

Adding to 105212065 its reverse (560212501), we get a palindrome (665424566).

The spelling of 105212065 in words is "one hundred five million, two hundred twelve thousand, sixty-five".