102353324220306 has 192 divisors, whose sum is σ = 232946944588800. Its totient is φ = 32437589184000.

The previous prime is 102353324220227. The next prime is 102353324220307. The reversal of 102353324220306 is 603022423353201.

It is a happy number.

102353324220306 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 5 + 3 + 324 + 2 + 20 + 306 = 666.

It is a super-3 number, since 3×102353324220306³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102353324220307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23016261375 + ... + 23016265821.

It is an arithmetic number, because the mean of its divisors is an integer number (1213265336400).

Almost surely, 2^{102353324220306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102353324220306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116473472294400).

102353324220306 is an abundant number, since it is smaller than the sum of its proper divisors (130593620368494).

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

102353324220306 is a wasteful number, since it uses less digits than its factorization.

102353324220306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6865 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 102353324220306 its reverse (603022423353201), we get a palindrome (705375747573507).

The spelling of 102353324220306 in words is "one hundred two trillion, three hundred fifty-three billion, three hundred twenty-four million, two hundred twenty thousand, three hundred six".