105006110105 has 32 divisors (see below), whose sum is σ = 137658528000. Its totient is φ = 76431244032.

The previous prime is 105006110089. The next prime is 105006110107. The reversal of 105006110105 is 501011600501.

It is not a de Polignac number, because 105006110105 - 2⁴ = 105006110089 is a prime.

It is a super-2 number, since 2×105006110105² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105006110107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1346111 + ... + 1421979.

It is an arithmetic number, because the mean of its divisors is an integer number (4301829000).

Almost surely, 2^105006110105 is an apocalyptic number.

It is an amenable number.

105006110105 is a deficient number, since it is larger than the sum of its proper divisors (32652417895).

105006110105 is a wasteful number, since it uses less digits than its factorization.

105006110105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76193.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 105006110105 its reverse (501011600501), we get a palindrome (606017710606).

The spelling of 105006110105 in words is "one hundred five billion, six million, one hundred ten thousand, one hundred five".