102305314332 has 384 divisors, whose sum is σ = 307810944000. Its totient is φ = 29487338496.

The previous prime is 102305314301. The next prime is 102305314333. The reversal of 102305314332 is 233413503201.

102305314332 is a `hidden beast` number, since 10 + 2 + 3 + 0 + 5 + 314 + 332 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102305314296 and 102305314305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102305314333) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244165219 + ... + 244165637.

It is an arithmetic number, because the mean of its divisors is an integer number (801591000).

Almost surely, 2^102305314332 is an apocalyptic number.

102305314332 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 102305314332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153905472000).

102305314332 is an abundant number, since it is smaller than the sum of its proper divisors (205505629668).

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

102305314332 is a wasteful number, since it uses less digits than its factorization.

102305314332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 102305314332 its reverse (233413503201), we get a palindrome (335718817533).

The spelling of 102305314332 in words is "one hundred two billion, three hundred five million, three hundred fourteen thousand, three hundred thirty-two".