105805135025 has 24 divisors (see below), whose sum is σ = 131892034560. Its totient is φ = 84197756160.

The previous prime is 105805135021. The next prime is 105805135027. The reversal of 105805135025 is 520531508501.

It is not a de Polignac number, because 105805135025 - 2² = 105805135021 is a prime.

It is a super-2 number, since 2×105805135025² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105805135021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3684272 + ... + 3712878.

It is an arithmetic number, because the mean of its divisors is an integer number (5495501440).

Almost surely, 2^105805135025 is an apocalyptic number.

It is an amenable number.

105805135025 is a deficient number, since it is larger than the sum of its proper divisors (26086899535).

105805135025 is a wasteful number, since it uses less digits than its factorization.

105805135025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29393 (or 29388 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 35.

The spelling of 105805135025 in words is "one hundred five billion, eight hundred five million, one hundred thirty-five thousand, twenty-five".