105503505833601 has 48 divisors (see below), whose sum is σ = 162724214480256. Its totient is φ = 65710457100288.

The previous prime is 105503505833591. The next prime is 105503505833603. The reversal of 105503505833601 is 106338505305501.

105503505833601 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 0 + 3 + 5 + 0 + 5 + 8 + 33 + 601 = 666.

It is not a de Polignac number, because 105503505833601 - 2²⁶ = 105503438724737 is a prime.

It is a super-2 number, since 2×105503505833601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105503505833603) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 244178911 + ... + 244610603.

It is an arithmetic number, because the mean of its divisors is an integer number (3390087801672).

Almost surely, 2^{105503505833601} is an apocalyptic number.

It is an amenable number.

105503505833601 is a deficient number, since it is larger than the sum of its proper divisors (57220708646655).

105503505833601 is a wasteful number, since it uses less digits than its factorization.

105503505833601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459222 (or 459219 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 105503505833601 in words is "one hundred five trillion, five hundred three billion, five hundred five million, eight hundred thirty-three thousand, six hundred one".