105105550550571 has 48 divisors (see below), whose sum is σ = 166763574282240. Its totient is φ = 63494080848000.

The previous prime is 105105550550557. The next prime is 105105550550593. The reversal of 105105550550571 is 175055055501501.

105105550550571 is a `hidden beast` number, since 10 + 5 + 10 + 5 + 5 + 5 + 0 + 5 + 50 + 571 = 666.

105105550550571 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 105105550550571 - 2³¹ = 105103403066923 is a prime.

It is a super-2 number, since 2×105105550550571² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105105550550521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118085446 + ... + 118972196.

It is an arithmetic number, because the mean of its divisors is an integer number (3474241130880).

Almost surely, 2^{105105550550571} is an apocalyptic number.

105105550550571 is a deficient number, since it is larger than the sum of its proper divisors (61658023731669).

105105550550571 is a wasteful number, since it uses less digits than its factorization.

105105550550571 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916936 (or 916933 counting only the distinct ones).

The product of its (nonzero) digits is 546875, while the sum is 45.

The spelling of 105105550550571 in words is "one hundred five trillion, one hundred five billion, five hundred fifty million, five hundred fifty thousand, five hundred seventy-one".