102533552000 has 256 divisors, whose sum is σ = 281489644800. Its totient is φ = 36830464000.

The previous prime is 102533551969. The next prime is 102533552057. The reversal of 102533552000 is 255335201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14604491 + ... + 14611509.

It is an arithmetic number, because the mean of its divisors is an integer number (1099568925).

Almost surely, 2^102533552000 is an apocalyptic number.

102533552000 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 102533552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140744822400).

102533552000 is an abundant number, since it is smaller than the sum of its proper divisors (178956092800).

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

102533552000 is an equidigital number, since it uses as much as digits as its factorization.

102533552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7142 (or 7120 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

Adding to 102533552000 its reverse (255335201), we get a palindrome (102788887201).

The spelling of 102533552000 in words is "one hundred two billion, five hundred thirty-three million, five hundred fifty-two thousand".