101106111105605 has 32 divisors (see below), whose sum is σ = 125166896507520. Its totient is φ = 78369357346560.

The previous prime is 101106111105583. The next prime is 101106111105607. The reversal of 101106111105605 is 506501111601101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-101106111105605 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101106111105607) 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, 5404019 + ... + 15212351.

It is an arithmetic number, because the mean of its divisors is an integer number (3911465515860).

Almost surely, 2^{101106111105605} is an apocalyptic number.

It is an amenable number.

101106111105605 is a deficient number, since it is larger than the sum of its proper divisors (24060785401915).

101106111105605 is an equidigital number, since it uses as much as digits as its factorization.

101106111105605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9808901.

The product of its (nonzero) digits is 900, while the sum is 29.

Adding to 101106111105605 its reverse (506501111601101), we get a palindrome (607607222706706).

The spelling of 101106111105605 in words is "one hundred one trillion, one hundred six billion, one hundred eleven million, one hundred five thousand, six hundred five".