102004110208 has 512 divisors, whose sum is σ = 286941634560. Its totient is φ = 34836480000.

The previous prime is 102004110137. The next prime is 102004110217. The reversal of 102004110208 is 802011400201.

It is a happy number.

102004110208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242289838 + ... + 242290258.

It is an arithmetic number, because the mean of its divisors is an integer number (560432880).

Almost surely, 2^102004110208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102004110208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143470817280).

102004110208 is an abundant number, since it is smaller than the sum of its proper divisors (184937524352).

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

102004110208 is a wasteful number, since it uses less digits than its factorization.

102004110208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102004110208 its reverse (802011400201), we get a palindrome (904015510409).

It can be divided in two parts, 102004 and 110208, that added together give a palindrome (212212).

The spelling of 102004110208 in words is "one hundred two billion, four million, one hundred ten thousand, two hundred eight".