105115065 has 32 divisors (see below), whose sum is σ = 184550400. Its totient is φ = 50665920.

The previous prime is 105115033. The next prime is 105115069. The reversal of 105115065 is 560511501.

It is not a de Polignac number, because 105115065 - 2⁵ = 105115033 is a prime.

It is a super-2 number, since 2×105115065² = 22098353779908450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105115069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27756 + ... + 31314.

It is an arithmetic number, because the mean of its divisors is an integer number (5767200).

Almost surely, 2^105115065 is an apocalyptic number.

105115065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105115065 is a deficient number, since it is larger than the sum of its proper divisors (79435335).

105115065 is a wasteful number, since it uses less digits than its factorization.

105115065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757.

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 105115065 is about 10252.5638256975. The cubic root of 105115065 is about 471.9416657416.

Adding to 105115065 its reverse (560511501), we get a palindrome (665626566).

It can be divided in two parts, 10511 and 5065, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 105115065 in words is "one hundred five million, one hundred fifteen thousand, sixty-five".