100047885760 has 112 divisors (see below), whose sum is σ = 241891937856. Its totient is φ = 39410122752.

The previous prime is 100047885757. The next prime is 100047885803. The reversal of 100047885760 is 67588740001.

It is a self number, because there is not a number n which added to its sum of digits gives 100047885760.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 5668309 + ... + 5685931.

Almost surely, 2^100047885760 is an apocalyptic number.

100047885760 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 100047885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120945968928).

100047885760 is an abundant number, since it is smaller than the sum of its proper divisors (141844052096).

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

100047885760 is a wasteful number, since it uses less digits than its factorization.

100047885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17910 (or 17900 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 46.

The spelling of 100047885760 in words is "one hundred billion, forty-seven million, eight hundred eighty-five thousand, seven hundred sixty".