102320010300 has 288 divisors, whose sum is σ = 326074129920. Its totient is φ = 24657177600.

The previous prime is 102320010253. The next prime is 102320010307. The reversal of 102320010300 is 3010023201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102320010307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60436254 + ... + 60437946.

It is an arithmetic number, because the mean of its divisors is an integer number (1132201840).

Almost surely, 2^102320010300 is an apocalyptic number.

102320010300 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 102320010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163037064960).

102320010300 is an abundant number, since it is smaller than the sum of its proper divisors (223754119620).

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

102320010300 is a wasteful number, since it uses less digits than its factorization.

102320010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102320010300 its reverse (3010023201), we get a palindrome (105330033501).

The spelling of 102320010300 in words is "one hundred two billion, three hundred twenty million, ten thousand, three hundred".