105571160010 has 96 divisors (see below), whose sum is σ = 277408789632. Its totient is φ = 27852854400.

The previous prime is 105571159949. The next prime is 105571160027. The reversal of 105571160010 is 10061175501.

It is a happy number.

105571160010 is a `hidden beast` number, since 1 + 0 + 5 + 57 + 1 + 1 + 600 + 1 + 0 = 666.

It is a super-2 number, since 2×105571160010² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15149547 + ... + 15156513.

It is an arithmetic number, because the mean of its divisors is an integer number (2889674892).

Almost surely, 2^105571160010 is an apocalyptic number.

105571160010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105571160010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138704394816).

105571160010 is an abundant number, since it is smaller than the sum of its proper divisors (171837629622).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105571160010 is a wasteful number, since it uses less digits than its factorization.

105571160010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The spelling of 105571160010 in words is "one hundred five billion, five hundred seventy-one million, one hundred sixty thousand, ten".