100883133104 has 90 divisors (see below), whose sum is σ = 213297152796. Its totient is φ = 46202532480.

The previous prime is 100883133067. The next prime is 100883133149. The reversal of 100883133104 is 401331388001.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52243019 + ... + 52244949.

Almost surely, 2^100883133104 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 100883133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106648576398).

100883133104 is an abundant number, since it is smaller than the sum of its proper divisors (112414019692).

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

100883133104 is a wasteful number, since it uses less digits than its factorization.

100883133104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 100883133104 in words is "one hundred billion, eight hundred eighty-three million, one hundred thirty-three thousand, one hundred four".