100105110105900 has 144 divisors (see below), whose sum is σ = 296041866107904. Its totient is φ = 26105356459520.

The previous prime is 100105110105893. The next prime is 100105110105943. The reversal of 100105110105900 is 9501011501001.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14341744 + ... + 20146856.

It is an arithmetic number, because the mean of its divisors is an integer number (2055846292416).

Almost surely, 2^{100105110105900} is an apocalyptic number.

100105110105900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100105110105900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148020933053952).

100105110105900 is an abundant number, since it is smaller than the sum of its proper divisors (195936756002004).

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

100105110105900 is a wasteful number, since it uses less digits than its factorization.

100105110105900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806400 (or 5806393 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 24.

Adding to 100105110105900 its reverse (9501011501001), we get a palindrome (109606121606901).

The spelling of 100105110105900 in words is "one hundred trillion, one hundred five billion, one hundred ten million, one hundred five thousand, nine hundred".