102232320300 has 432 divisors, whose sum is σ = 373128118272. Its totient is φ = 23137228800.

The previous prime is 102232320277. The next prime is 102232320403. The reversal of 102232320300 is 3023232201.

It is a happy number.

102232320300 is a `hidden beast` number, since 1 + 0 + 22 + 323 + 20 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 21371709 + ... + 21376491.

It is an arithmetic number, because the mean of its divisors is an integer number (863722496).

Almost surely, 2^102232320300 is an apocalyptic number.

102232320300 is a gapful number since it is divisible by the number (10) 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 102232320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186564059136).

102232320300 is an abundant number, since it is smaller than the sum of its proper divisors (270895797972).

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

102232320300 is a wasteful number, since it uses less digits than its factorization.

102232320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 102232320300 its reverse (3023232201), we get a palindrome (105255552501).

The spelling of 102232320300 in words is "one hundred two billion, two hundred thirty-two million, three hundred twenty thousand, three hundred".