105606055006104 has 32 divisors (see below), whose sum is σ = 279545439723120. Its totient is φ = 33131311374336.

The previous prime is 105606055006099. The next prime is 105606055006139. The reversal of 105606055006104 is 401600550606501.

It is a super-3 number, since 3×105606055006104³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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, 129419184649 + ... + 129419185464.

Almost surely, 2^{105606055006104} is an apocalyptic number.

It is an amenable number.

105606055006104 is an abundant number, since it is smaller than the sum of its proper divisors (173939384717016).

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

105606055006104 is a wasteful number, since it uses less digits than its factorization.

105606055006104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258838370139 (or 258838370135 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 105606055006104 in words is "one hundred five trillion, six hundred six billion, fifty-five million, six thousand, one hundred four".