105600106100106 has 24 divisors (see below), whose sum is σ = 229177166035584. Its totient is φ = 35142045189480.

The previous prime is 105600106100063. The next prime is 105600106100107. The reversal of 105600106100106 is 601001601006501.

It is a super-2 number, since 2×105600106100106² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105600106100106.

It is not an unprimeable number, because it can be changed into a prime (105600106100107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4832503540 + ... + 4832525391.

It is an arithmetic number, because the mean of its divisors is an integer number (9549048584816).

Almost surely, 2^{105600106100106} is an apocalyptic number.

105600106100106 is an abundant number, since it is smaller than the sum of its proper divisors (123577059935478).

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

105600106100106 is a wasteful number, since it uses less digits than its factorization.

105600106100106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9665029546 (or 9665029543 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 105600106100106 its reverse (601001601006501), we get a palindrome (706601707106607).

The spelling of 105600106100106 in words is "one hundred five trillion, six hundred billion, one hundred six million, one hundred thousand, one hundred six".