110055111061050 has 144 divisors (see below), whose sum is σ = 297719156194200. Its totient is φ = 29145841374720.

The previous prime is 110055111060971. The next prime is 110055111061079. The reversal of 110055111061050 is 50160111550011.

110055111061050 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 551 + 1 + 1 + 0 + 6 + 105 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 15050341793529 + 95004769267521 = 3879477^2 + 9747039^2 .

It is a super-2 number, since 2×110055111061050² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 381571492 + ... + 381859808.

Almost surely, 2^{110055111061050} is an apocalyptic number.

110055111061050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110055111061050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148859578097100).

110055111061050 is an abundant number, since it is smaller than the sum of its proper divisors (187664045133150).

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

110055111061050 is a wasteful number, since it uses less digits than its factorization.

110055111061050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294177 (or 294169 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

The spelling of 110055111061050 in words is "one hundred ten trillion, fifty-five billion, one hundred eleven million, sixty-one thousand, fifty".