105060006105 has 32 divisors (see below), whose sum is σ = 175714959360. Its totient is φ = 53538114240.

The previous prime is 105060006097. The next prime is 105060006109. The reversal of 105060006105 is 501600060501.

It is not a de Polignac number, because 105060006105 - 2³ = 105060006097 is a prime.

It is a super-2 number, since 2×105060006105² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105060006109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1393237 + ... + 1466706.

It is an arithmetic number, because the mean of its divisors is an integer number (5491092480).

Almost surely, 2^105060006105 is an apocalyptic number.

105060006105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105060006105 is a deficient number, since it is larger than the sum of its proper divisors (70654953255).

105060006105 is a wasteful number, since it uses less digits than its factorization.

105060006105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860061.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 105060006105 its reverse (501600060501), we get a palindrome (606660066606).

The spelling of 105060006105 in words is "one hundred five billion, sixty million, six thousand, one hundred five".