105506110612 has 12 divisors (see below), whose sum is σ = 211012221280. Its totient is φ = 45216904536.

The previous prime is 105506110607. The next prime is 105506110643. The reversal of 105506110612 is 216011605501.

It is a happy number.

105506110612 is an admirable number.

It is a super-3 number, since 3×105506110612³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 3768075379 = 105506110612 / (1 + 0 + 5 + 5 + 0 + 6 + 1 + 1 + 0 + 6 + 1 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1884037662 + ... + 1884037717.

Almost surely, 2^105506110612 is an apocalyptic number.

It is an amenable number.

105506110612 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105506110612 is a wasteful number, since it uses less digits than its factorization.

105506110612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768075390 (or 3768075388 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 105506110612 in words is "one hundred five billion, five hundred six million, one hundred ten thousand, six hundred twelve".