106056055105055 has 32 divisors (see below), whose sum is σ = 143318811138048. Its totient is φ = 74641901558400.

The previous prime is 106056055105001. The next prime is 106056055105093. The reversal of 106056055105055 is 550501550650601.

It is not a de Polignac number, because 106056055105055 - 2¹⁴ = 106056055088671 is a prime.

It is a super-2 number, since 2×106056055105055² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106056055104997 and 106056055105015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78859517 + ... + 80193113.

It is an arithmetic number, because the mean of its divisors is an integer number (4478712848064).

Almost surely, 2^{106056055105055} is an apocalyptic number.

106056055105055 is a deficient number, since it is larger than the sum of its proper divisors (37262756032993).

106056055105055 is a wasteful number, since it uses less digits than its factorization.

106056055105055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380287.

The product of its (nonzero) digits is 562500, while the sum is 44.

The spelling of 106056055105055 in words is "one hundred six trillion, fifty-six billion, fifty-five million, one hundred five thousand, fifty-five".