102881441216 has 112 divisors (see below), whose sum is σ = 214101822240. Its totient is φ = 48987832320.

The previous prime is 102881441213. The next prime is 102881441249. The reversal of 102881441216 is 612144188201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102881441216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102881441213) 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 15 ways as a sum of consecutive naturals, for example, 47607176 + ... + 47609336.

Almost surely, 2^102881441216 is an apocalyptic number.

102881441216 is a gapful number since it is divisible by the number (16) 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 102881441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107050911120).

102881441216 is an abundant number, since it is smaller than the sum of its proper divisors (111220381024).

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

102881441216 is a wasteful number, since it uses less digits than its factorization.

102881441216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The spelling of 102881441216 in words is "one hundred two billion, eight hundred eighty-one million, four hundred forty-one thousand, two hundred sixteen".