105605011055092 has 24 divisors (see below), whose sum is σ = 191182659696000. Its totient is φ = 50981416364256.

The previous prime is 105605011055083. The next prime is 105605011055099. The reversal of 105605011055092 is 290550110506501.

It is a super-2 number, since 2×105605011055092² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605011055099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16760409 + ... + 22183807.

It is an arithmetic number, because the mean of its divisors is an integer number (7965944154000).

Almost surely, 2^{105605011055092} is an apocalyptic number.

It is an amenable number.

105605011055092 is a deficient number, since it is larger than the sum of its proper divisors (85577648640908).

105605011055092 is a wasteful number, since it uses less digits than its factorization.

105605011055092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591295 (or 5591293 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 40.

The spelling of 105605011055092 in words is "one hundred five trillion, six hundred five billion, eleven million, fifty-five thousand, ninety-two".