102302000010 has 192 divisors, whose sum is σ = 320522342400. Its totient is φ = 22115223936.

The previous prime is 102301999963. The next prime is 102302000023. The reversal of 102302000010 is 10000203201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102301999956 and 102302000001.

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 95 ways as a sum of consecutive naturals, for example, 7402527 + ... + 7416333.

It is an arithmetic number, because the mean of its divisors is an integer number (1669387200).

Almost surely, 2^102302000010 is an apocalyptic number.

102302000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102302000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160261171200).

102302000010 is an abundant number, since it is smaller than the sum of its proper divisors (218220342390).

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

102302000010 is a wasteful number, since it uses less digits than its factorization.

102302000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14465 (or 14462 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 102302000010 its reverse (10000203201), we get a palindrome (112302203211).

The spelling of 102302000010 in words is "one hundred two billion, three hundred two million, ten", and thus it is an aban number.