105005561110056 has 160 divisors (see below), whose sum is σ = 294569666292000. Its totient is φ = 34947512290944.

The previous prime is 105005561110039. The next prime is 105005561110057. The reversal of 105005561110056 is 650011165500501.

It is a happy number.

105005561110056 is a `hidden beast` number, since 1 + 0 + 50 + 0 + 556 + 1 + 1 + 1 + 0 + 0 + 56 = 666.

It is a super-2 number, since 2×105005561110056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105005561110056.

It is not an unprimeable number, because it can be changed into a prime (105005561110057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1621750275 + ... + 1621815021.

It is an arithmetic number, because the mean of its divisors is an integer number (1841060414325).

Almost surely, 2^{105005561110056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105005561110056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147284833146000).

105005561110056 is an abundant number, since it is smaller than the sum of its proper divisors (189564105181944).

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

105005561110056 is a wasteful number, since it uses less digits than its factorization.

105005561110056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68613 (or 68600 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 105005561110056 in words is "one hundred five trillion, five billion, five hundred sixty-one million, one hundred ten thousand, fifty-six".