105500550605601 has 8 divisors (see below), whose sum is σ = 141298196327680. Its totient is φ = 70018302643632.

The previous prime is 105500550605579. The next prime is 105500550605641. The reversal of 105500550605601 is 106506055005501.

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

It is not a de Polignac number, because 105500550605601 - 2⁶ = 105500550605537 is a prime.

It is a super-2 number, since 2×105500550605601² (a number of 29 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 105500550605601.

It is not an unprimeable number, because it can be changed into a prime (105500550605641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78849439246 + ... + 78849440583.

It is an arithmetic number, because the mean of its divisors is an integer number (17662274540960).

Almost surely, 2^{105500550605601} is an apocalyptic number.

It is an amenable number.

105500550605601 is a deficient number, since it is larger than the sum of its proper divisors (35797645722079).

105500550605601 is a wasteful number, since it uses less digits than its factorization.

105500550605601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157698880055.

The product of its (nonzero) digits is 112500, while the sum is 39.

The spelling of 105500550605601 in words is "one hundred five trillion, five hundred billion, five hundred fifty million, six hundred five thousand, six hundred one".