102841036800 has 312 divisors, whose sum is σ = 351020390400. Its totient is φ = 26537164800.

The previous prime is 102841036799. The next prime is 102841036829. The reversal of 102841036800 is 8630148201.

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 23 ways as a sum of consecutive naturals, for example, 9517801 + ... + 9528599.

Almost surely, 2^102841036800 is an apocalyptic number.

102841036800 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 102841036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175510195200).

102841036800 is an abundant number, since it is smaller than the sum of its proper divisors (248179353600).

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

102841036800 is a wasteful number, since it uses less digits than its factorization.

102841036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10867 (or 10840 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 102841036800 in words is "one hundred two billion, eight hundred forty-one million, thirty-six thousand, eight hundred".