105056055555550 has 24 divisors (see below), whose sum is σ = 213168287273832. Its totient is φ = 38202202020000.

The previous prime is 105056055555499. The next prime is 105056055555559. The reversal of 105056055555550 is 55555550650501.

It is a happy number.

It is a super-2 number, since 2×105056055555550² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105056055555559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95505504501 + ... + 95505505600.

It is an arithmetic number, because the mean of its divisors is an integer number (8882011969743).

Almost surely, 2^{105056055555550} is an apocalyptic number.

105056055555550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105056055555550 is an abundant number, since it is smaller than the sum of its proper divisors (108112231718282).

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

105056055555550 is a wasteful number, since it uses less digits than its factorization.

105056055555550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191011010124 (or 191011010119 counting only the distinct ones).

The product of its (nonzero) digits is 11718750, while the sum is 52.

The spelling of 105056055555550 in words is "one hundred five trillion, fifty-six billion, fifty-five million, five hundred fifty-five thousand, five hundred fifty".