100995360911808 has 112 divisors (see below), whose sum is σ = 291568246245120. Its totient is φ = 30598470144000.

The previous prime is 100995360911803. The next prime is 100995360911849. The reversal of 100995360911808 is 808119063599001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100995360911803) 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 15 ways as a sum of consecutive naturals, for example, 5627208 + ... + 15285816.

Almost surely, 2^{100995360911808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100995360911808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145784123122560).

100995360911808 is an abundant number, since it is smaller than the sum of its proper divisors (190572885333312).

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

100995360911808 is a wasteful number, since it uses less digits than its factorization.

100995360911808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9663586 (or 9663576 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 60.

The spelling of 100995360911808 in words is "one hundred trillion, nine hundred ninety-five billion, three hundred sixty million, nine hundred eleven thousand, eight hundred eight".