106505016055 has 8 divisors (see below), whose sum is σ = 127807800192. Its totient is φ = 85202825568.

The previous prime is 106505016001. The next prime is 106505016071. The reversal of 106505016055 is 550610505601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106505016055 - 2¹⁹ = 106504491767 is a prime.

It is a super-2 number, since 2×106505016055² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106505016055.

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 7 ways as a sum of consecutive naturals, for example, 519802 + ... + 695128.

It is an arithmetic number, because the mean of its divisors is an integer number (15975975024).

Almost surely, 2^106505016055 is an apocalyptic number.

106505016055 is a deficient number, since it is larger than the sum of its proper divisors (21302784137).

106505016055 is a wasteful number, since it uses less digits than its factorization.

106505016055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296825.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 106505016055 in words is "one hundred six billion, five hundred five million, sixteen thousand, fifty-five".