105325065 has 36 divisors (see below), whose sum is σ = 185189004. Its totient is φ = 55375488.

The previous prime is 105325043. The next prime is 105325079. The reversal of 105325065 is 560523501.

It can be written as a sum of positive squares in 6 ways, for example, as 20169081 + 85155984 = 4491^2 + 9228^2 .

It is not a de Polignac number, because 105325065 - 2⁶ = 105325001 is a prime.

It is a super-2 number, since 2×105325065² = 22186738634508450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 534547 + ... + 534743.

It is an arithmetic number, because the mean of its divisors is an integer number (5144139).

Almost surely, 2^105325065 is an apocalyptic number.

105325065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105325065 is a deficient number, since it is larger than the sum of its proper divisors (79863939).

105325065 is a wasteful number, since it uses less digits than its factorization.

105325065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 105325065 is about 10262.8000565148. The cubic root of 105325065 is about 472.2557400482.

Adding to 105325065 its reverse (560523501), we get a palindrome (665848566).

The spelling of 105325065 in words is "one hundred five million, three hundred twenty-five thousand, sixty-five".