110100106060056 has 256 divisors, whose sum is σ = 357733979750400. Its totient is φ = 30718621035648.

The previous prime is 110100106059997. The next prime is 110100106060129. The reversal of 110100106060056 is 650060601001011.

110100106060056 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 0 + 0 + 1 + 0 + 6 + 0 + 600 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 288935751 + ... + 289316553.

It is an arithmetic number, because the mean of its divisors is an integer number (1397398358400).

Almost surely, 2^{110100106060056} 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 110100106060056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178866989875200).

110100106060056 is an abundant number, since it is smaller than the sum of its proper divisors (247633873690344).

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

110100106060056 is a wasteful number, since it uses less digits than its factorization.

110100106060056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385315 (or 385305 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 110100106060056 its reverse (650060601001011), we get a palindrome (760160707061067).

The spelling of 110100106060056 in words is "one hundred ten trillion, one hundred billion, one hundred six million, sixty thousand, fifty-six".