100853003328 has 224 divisors, whose sum is σ = 343417233408. Its totient is φ = 25350451200.

The previous prime is 100853003323. The next prime is 100853003389. The reversal of 100853003328 is 823300358001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (100853003323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348276 + ... + 568332.

Almost surely, 2^100853003328 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 100853003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171708616704).

100853003328 is an abundant number, since it is smaller than the sum of its proper divisors (242564230080).

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

100853003328 is a wasteful number, since it uses less digits than its factorization.

100853003328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220121 (or 220111 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 100853003328 in words is "one hundred billion, eight hundred fifty-three million, three thousand, three hundred twenty-eight".