105013065 has 16 divisors (see below), whose sum is σ = 168565248. Its totient is φ = 55825536.

The previous prime is 105013039. The next prime is 105013079. The reversal of 105013065 is 560310501.

It is a happy number.

It is not a de Polignac number, because 105013065 - 2⁷ = 105012937 is a prime.

It is a super-2 number, since 2×105013065² = 22055487641388450, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6489 + ... + 15878.

It is an arithmetic number, because the mean of its divisors is an integer number (10535328).

Almost surely, 2^105013065 is an apocalyptic number.

105013065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105013065 is a deficient number, since it is larger than the sum of its proper divisors (63552183).

105013065 is a wasteful number, since it uses less digits than its factorization.

105013065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22688.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 105013065 is about 10247.5882528525. The cubic root of 105013065 is about 471.7889644176.

Adding to 105013065 its reverse (560310501), we get a palindrome (665323566).

The spelling of 105013065 in words is "one hundred five million, thirteen thousand, sixty-five".