105387818318825 has 36 divisors (see below), whose sum is σ = 152018062556112. Its totient is φ = 72265213994400.

The previous prime is 105387818318813. The next prime is 105387818318921. The reversal of 105387818318825 is 528813818783501.

It is not a de Polignac number, because 105387818318825 - 2⁸ = 105387818318569 is a prime.

It is a super-3 number, since 3×105387818318825³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian 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, 142233962 + ... + 142972988.

It is an arithmetic number, because the mean of its divisors is an integer number (4222723959892).

Almost surely, 2^{105387818318825} is an apocalyptic number.

It is an amenable number.

105387818318825 is a deficient number, since it is larger than the sum of its proper divisors (46630244237287).

105387818318825 is a wasteful number, since it uses less digits than its factorization.

105387818318825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855462 (or 855450 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 68.

The spelling of 105387818318825 in words is "one hundred five trillion, three hundred eighty-seven billion, eight hundred eighteen million, three hundred eighteen thousand, eight hundred twenty-five".