102004430304 has 96 divisors (see below), whose sum is σ = 306627552000. Its totient is φ = 29085622272.

The previous prime is 102004430303. The next prime is 102004430317. The reversal of 102004430304 is 403034400201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102004430303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183232 + ... + 487424.

It is an arithmetic number, because the mean of its divisors is an integer number (3194037000).

Almost surely, 2^102004430304 is an apocalyptic number.

102004430304 is a gapful number since it is divisible by the number (14) 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 102004430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153313776000).

102004430304 is an abundant number, since it is smaller than the sum of its proper divisors (204623121696).

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

102004430304 is a wasteful number, since it uses less digits than its factorization.

102004430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304712 (or 304704 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 102004430304 its reverse (403034400201), we get a palindrome (505038830505).

The spelling of 102004430304 in words is "one hundred two billion, four million, four hundred thirty thousand, three hundred four".