102734210304 has 864 divisors, whose sum is σ = 359984701440. Its totient is φ = 28914278400.

The previous prime is 102734210279. The next prime is 102734210321. The reversal of 102734210304 is 403012437201.

It is a happy number.

102734210304 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 342 + 10 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 615174829 + ... + 615174995.

It is an arithmetic number, because the mean of its divisors is an integer number (416648960).

Almost surely, 2^102734210304 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 102734210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179992350720).

102734210304 is an abundant number, since it is smaller than the sum of its proper divisors (257250491136).

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

102734210304 is a wasteful number, since it uses less digits than its factorization.

102734210304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 102734210304 its reverse (403012437201), we get a palindrome (505746647505).

The spelling of 102734210304 in words is "one hundred two billion, seven hundred thirty-four million, two hundred ten thousand, three hundred four".