103332001086882 has 112 divisors (see below), whose sum is σ = 237531744224640. Its totient is φ = 33690164560416.

The previous prime is 103332001086827. The next prime is 103332001086883. The reversal of 103332001086882 is 288680100233301.

103332001086882 is a `hidden beast` number, since 1 + 0 + 333 + 200 + 108 + 6 + 8 + 8 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (103332001086883) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8132328 + ... + 16516620.

Almost surely, 2^{103332001086882} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103332001086882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118765872112320).

103332001086882 is an abundant number, since it is smaller than the sum of its proper divisors (134199743137758).

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

103332001086882 is an equidigital number, since it uses as much as digits as its factorization.

103332001086882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8384499 (or 8384484 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 103332001086882 in words is "one hundred three trillion, three hundred thirty-two billion, one million, eighty-six thousand, eight hundred eighty-two".