106100100111103 has 16 divisors (see below), whose sum is σ = 124215269907456. Its totient is φ = 88724451994560.

The previous prime is 106100100111097. The next prime is 106100100111113. The reversal of 106100100111103 is 301111001001601.

It is a cyclic number.

It is not a de Polignac number, because 106100100111103 - 2³³ = 106091510176511 is a prime.

It is a super-2 number, since 2×106100100111103² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106100100111113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84472950 + ... + 85719772.

It is an arithmetic number, because the mean of its divisors is an integer number (7763454369216).

Almost surely, 2^{106100100111103} is an apocalyptic number.

106100100111103 is a deficient number, since it is larger than the sum of its proper divisors (18115169796353).

106100100111103 is a wasteful number, since it uses less digits than its factorization.

106100100111103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543374.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 106100100111103 its reverse (301111001001601), we get a palindrome (407211101112704).

The spelling of 106100100111103 in words is "one hundred six trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred three".