105535065 has 16 divisors (see below), whose sum is σ = 178789248. Its totient is φ = 52974336.

The previous prime is 105535057. The next prime is 105535093. The reversal of 105535065 is 560535501.

It is not a de Polignac number, because 105535065 - 2³ = 105535057 is a prime.

It is a super-2 number, since 2×105535065² = 22275299889108450, 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, 206677 + ... + 207186.

It is an arithmetic number, because the mean of its divisors is an integer number (11174328).

Almost surely, 2^105535065 is an apocalyptic number.

105535065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105535065 is a deficient number, since it is larger than the sum of its proper divisors (73254183).

105535065 is a wasteful number, since it uses less digits than its factorization.

105535065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413888.

The product of its (nonzero) digits is 11250, while the sum is 30.

The square root of 105535065 is about 10273.0260877699. The cubic root of 105535065 is about 472.5693971584.

The spelling of 105535065 in words is "one hundred five million, five hundred thirty-five thousand, sixty-five".