105110050056 has 128 divisors (see below), whose sum is σ = 297318297600. Its totient is φ = 30677472000.

The previous prime is 105110049983. The next prime is 105110050061. The reversal of 105110050056 is 650050011501.

It is a super-2 number, since 2×105110050056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1696390 + ... + 1757258.

It is an arithmetic number, because the mean of its divisors is an integer number (2322799200).

Almost surely, 2^105110050056 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 105110050056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148659148800).

105110050056 is an abundant number, since it is smaller than the sum of its proper divisors (192208247544).

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

105110050056 is a wasteful number, since it uses less digits than its factorization.

105110050056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61131 (or 61127 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 105110050056 its reverse (650050011501), we get a palindrome (755160061557).

The spelling of 105110050056 in words is "one hundred five billion, one hundred ten million, fifty thousand, fifty-six".