105500442241655 has 16 divisors (see below), whose sum is σ = 130968115138080. Its totient is φ = 81488721890688.

The previous prime is 105500442241613. The next prime is 105500442241679. The reversal of 105500442241655 is 556142244005501.

It is a cyclic number.

It is not a de Polignac number, because 105500442241655 - 2¹⁴ = 105500442225271 is a prime.

It is a super-3 number, since 3×105500442241655³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3661769 + ... + 14980301.

It is an arithmetic number, because the mean of its divisors is an integer number (8185507196130).

Almost surely, 2^{105500442241655} is an apocalyptic number.

105500442241655 is a deficient number, since it is larger than the sum of its proper divisors (25467672896425).

105500442241655 is a wasteful number, since it uses less digits than its factorization.

105500442241655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11382850.

The product of its (nonzero) digits is 960000, while the sum is 44.

The spelling of 105500442241655 in words is "one hundred five trillion, five hundred billion, four hundred forty-two million, two hundred forty-one thousand, six hundred fifty-five".