100243713046144 has 64 divisors (see below), whose sum is σ = 204896413038240. Its totient is φ = 48824981001216.

The previous prime is 100243713046067. The next prime is 100243713046151. The reversal of 100243713046144 is 441640317342001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 100243713046097 and 100243713046106.

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 7 ways as a sum of consecutive naturals, for example, 22361062 + ... + 26467045.

Almost surely, 2^{100243713046144} is an apocalyptic number.

It is an amenable number.

100243713046144 is an abundant number, since it is smaller than the sum of its proper divisors (104652699992096).

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

100243713046144 is an equidigital number, since it uses as much as digits as its factorization.

100243713046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48828537 (or 48828525 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 100243713046144 in words is "one hundred trillion, two hundred forty-three billion, seven hundred thirteen million, forty-six thousand, one hundred forty-four".