105611110600556 has 48 divisors (see below), whose sum is σ = 201961718219520. Its totient is φ = 47924026211520.

The previous prime is 105611110600553. The next prime is 105611110600577. The reversal of 105611110600556 is 655006011116501.

It is a happy number.

It is a super-2 number, since 2×105611110600556² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105611110600553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85744985 + ... + 86967951.

It is an arithmetic number, because the mean of its divisors is an integer number (4207535796240).

Almost surely, 2^{105611110600556} is an apocalyptic number.

It is an amenable number.

105611110600556 is a deficient number, since it is larger than the sum of its proper divisors (96350607618964).

105611110600556 is a wasteful number, since it uses less digits than its factorization.

105611110600556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226294 (or 1226292 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 38.

The spelling of 105611110600556 in words is "one hundred five trillion, six hundred eleven billion, one hundred ten million, six hundred thousand, five hundred fifty-six".