102300307200 has 1296 divisors, whose sum is σ = 466364109120. Its totient is φ = 20808990720.

The previous prime is 102300307139. The next prime is 102300307201. The reversal of 102300307200 is 2703003201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102300307201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 152006064 + ... + 152006736.

Almost surely, 2^102300307200 is an apocalyptic number.

102300307200 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 102300307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233182054560).

102300307200 is an abundant number, since it is smaller than the sum of its proper divisors (364063801920).

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

102300307200 is a wasteful number, since it uses less digits than its factorization.

102300307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The spelling of 102300307200 in words is "one hundred two billion, three hundred million, three hundred seven thousand, two hundred".