100642144768 has 40 divisors (see below), whose sum is σ = 219368437200. Its totient is φ = 45746426880.

The previous prime is 100642144751. The next prime is 100642144777. The reversal of 100642144768 is 867441246001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8929218 + ... + 8940481.

It is an arithmetic number, because the mean of its divisors is an integer number (5484210930).

Almost surely, 2^100642144768 is an apocalyptic number.

It is an amenable number.

100642144768 is an abundant number, since it is smaller than the sum of its proper divisors (118726292432).

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

100642144768 is an equidigital number, since it uses as much as digits as its factorization.

100642144768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17869728 (or 17869712 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 100642144768 in words is "one hundred billion, six hundred forty-two million, one hundred forty-four thousand, seven hundred sixty-eight".