102183936000 has 896 divisors, whose sum is σ = 372934748160. Its totient is φ = 24772608000.

The previous prime is 102183935989. The next prime is 102183936007. The reversal of 102183936000 is 639381201.

It is not an unprimeable number, because it can be changed into a prime (102183936007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2761727982 + ... + 2761728018.

Almost surely, 2^102183936000 is an apocalyptic number.

102183936000 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 102183936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186467374080).

102183936000 is an abundant number, since it is smaller than the sum of its proper divisors (270750812160).

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

102183936000 is an equidigital number, since it uses as much as digits as its factorization.

102183936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 102183936000 in words is "one hundred two billion, one hundred eighty-three million, nine hundred thirty-six thousand".