102304302100 has 486 divisors, whose sum is σ = 307672171002. Its totient is φ = 29405376000.

The previous prime is 102304302097. The next prime is 102304302109. The reversal of 102304302100 is 1203403201.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 61169160976 + 41135141124 = 247324^2 + 202818^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102304302109) by changing a digit.

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 161 ways as a sum of consecutive naturals, for example, 100199590 + ... + 100200610.

Almost surely, 2^102304302100 is an apocalyptic number.

102304302100 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 102304302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153836085501).

102304302100 is an abundant number, since it is smaller than the sum of its proper divisors (205367868902).

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

102304302100 is a wasteful number, since it uses less digits than its factorization.

102304302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102304302100 its reverse (1203403201), we get a palindrome (103507705301).

It can be divided in two parts, 102304 and 302100, that added together give a palindrome (404404).

The spelling of 102304302100 in words is "one hundred two billion, three hundred four million, three hundred two thousand, one hundred".