105795542506914 has 64 divisors (see below), whose sum is σ = 256390798809600. Its totient is φ = 32140417959936.

The previous prime is 105795542506909. The next prime is 105795542506921. The reversal of 105795542506914 is 419605245597501.

105795542506914 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 9 + 554 + 2 + 5 + 0 + 69 + 14 = 666.

It is a super-2 number, since 2×105795542506914² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953779359 + ... + 953890274.

It is an arithmetic number, because the mean of its divisors is an integer number (4006106231400).

Almost surely, 2^{105795542506914} is an apocalyptic number.

105795542506914 is an abundant number, since it is smaller than the sum of its proper divisors (150595256302686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105795542506914 is a wasteful number, since it uses less digits than its factorization.

105795542506914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907669736 (or 1907669730 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 105795542506914 in words is "one hundred five trillion, seven hundred ninety-five billion, five hundred forty-two million, five hundred six thousand, nine hundred fourteen".