100159556640 has 768 divisors, whose sum is σ = 387177283584. Its totient is φ = 21432729600.

The previous prime is 100159556621. The next prime is 100159556669. The reversal of 100159556640 is 46655951001.

It is a junction number, because it is equal to n+sod(n) for n = 100159556592 and 100159556601.

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 127 ways as a sum of consecutive naturals, for example, 219167292 + ... + 219167748.

It is an arithmetic number, because the mean of its divisors is an integer number (504137088).

Almost surely, 2^100159556640 is an apocalyptic number.

100159556640 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 100159556640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193588641792).

100159556640 is an abundant number, since it is smaller than the sum of its proper divisors (287017726944).

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

100159556640 is a wasteful number, since it uses less digits than its factorization.

100159556640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 100159556640 in words is "one hundred billion, one hundred fifty-nine million, five hundred fifty-six thousand, six hundred forty".