106056055105056 has 768 divisors, whose sum is σ = 382216461419520. Its totient is φ = 27923011338240.

The previous prime is 106056055105001. The next prime is 106056055105093. The reversal of 106056055105056 is 650501550650601.

106056055105056 is a `hidden beast` number, since 10 + 60 + 5 + 60 + 5 + 5 + 10 + 505 + 6 = 666.

It is a super-2 number, since 2×106056055105056² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1028211246 + ... + 1028314386.

It is an arithmetic number, because the mean of its divisors is an integer number (497677684140).

Almost surely, 2^{106056055105056} is an apocalyptic number.

106056055105056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106056055105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191108230709760).

106056055105056 is an abundant number, since it is smaller than the sum of its proper divisors (276160406314464).

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

106056055105056 is a wasteful number, since it uses less digits than its factorization.

106056055105056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103394 (or 103380 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 106056055105056 in words is "one hundred six trillion, fifty-six billion, fifty-five million, one hundred five thousand, fifty-six".