100105500110966 has 16 divisors (see below), whose sum is σ = 172507907450880. Its totient is φ = 42677737518120.

The previous prime is 100105500110963. The next prime is 100105500111049. The reversal of 100105500110966 is 669011005501001.

It is a super-2 number, since 2×100105500110966² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105500110963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18718303256 + ... + 18718308603.

It is an arithmetic number, because the mean of its divisors is an integer number (10781744215680).

Almost surely, 2^{100105500110966} is an apocalyptic number.

100105500110966 is a deficient number, since it is larger than the sum of its proper divisors (72402407339914).

100105500110966 is a wasteful number, since it uses less digits than its factorization.

100105500110966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37436612059.

The product of its (nonzero) digits is 8100, while the sum is 35.

Adding to 100105500110966 its reverse (669011005501001), we get a palindrome (769116505611967).

The spelling of 100105500110966 in words is "one hundred trillion, one hundred five billion, five hundred million, one hundred ten thousand, nine hundred sixty-six".