105017206060011 has 48 divisors (see below), whose sum is σ = 163790416742400. Its totient is φ = 59676405852672.

The previous prime is 105017206060009. The next prime is 105017206060049. The reversal of 105017206060011 is 110060602710501.

It is not a de Polignac number, because 105017206060011 - 2¹ = 105017206060009 is a prime.

It is a super-2 number, since 2×105017206060011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105017206060411) 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, 28729330 + ... + 32177768.

It is an arithmetic number, because the mean of its divisors is an integer number (3412300348800).

Almost surely, 2^{105017206060011} is an apocalyptic number.

105017206060011 is a deficient number, since it is larger than the sum of its proper divisors (58773210682389).

105017206060011 is a wasteful number, since it uses less digits than its factorization.

105017206060011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449608 (or 3449601 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

Adding to 105017206060011 its reverse (110060602710501), we get a palindrome (215077808770512).

The spelling of 105017206060011 in words is "one hundred five trillion, seventeen billion, two hundred six million, sixty thousand, eleven".