105006110107 has 2 divisors, whose sum is σ = 105006110108. Its totient is φ = 105006110106.

The previous prime is 105006110089. The next prime is 105006110113. The reversal of 105006110107 is 701011600501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105006110107 is a prime.

It is a super-2 number, since 2×105006110107² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105006110147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52503055053 + 52503055054.

It is an arithmetic number, because the mean of its divisors is an integer number (52503055054).

Almost surely, 2^105006110107 is an apocalyptic number.

105006110107 is a deficient number, since it is larger than the sum of its proper divisors (1).

105006110107 is an equidigital number, since it uses as much as digits as its factorization.

105006110107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 22.

Adding to 105006110107 its reverse (701011600501), we get a palindrome (806017710608).

The spelling of 105006110107 in words is "one hundred five billion, six million, one hundred ten thousand, one hundred seven".