102104304013332 has 144 divisors (see below), whose sum is σ = 274445573193792. Its totient is φ = 31896152939520.

The previous prime is 102104304013297. The next prime is 102104304013333. The reversal of 102104304013332 is 233310403401201.

It is a happy number.

102104304013332 is a `hidden beast` number, since 1 + 0 + 2 + 10 + 4 + 304 + 0 + 13 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102104304013296 and 102104304013305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102104304013333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259344543 + ... + 259737945.

It is an arithmetic number, because the mean of its divisors is an integer number (1905872036068).

Almost surely, 2^{102104304013332} is an apocalyptic number.

102104304013332 is a gapful number since it is divisible by the number (12) 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 102104304013332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137222786596896).

102104304013332 is an abundant number, since it is smaller than the sum of its proper divisors (172341269180460).

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

102104304013332 is a wasteful number, since it uses less digits than its factorization.

102104304013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395238 (or 395233 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102104304013332 its reverse (233310403401201), we get a palindrome (335414707414533).

The spelling of 102104304013332 in words is "one hundred two trillion, one hundred four billion, three hundred four million, thirteen thousand, three hundred thirty-two".