102020836320 has 864 divisors, whose sum is σ = 398409744096. Its totient is φ = 23621345280.

The previous prime is 102020836301. The next prime is 102020836363. The reversal of 102020836320 is 23638020201.

102020836320 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 20 + 8 + 3 + 632 + 0 = 666.

It is a super-2 number, since 2×102020836320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 953465707 + ... + 953465813.

It is an arithmetic number, because the mean of its divisors is an integer number (461122389).

Almost surely, 2^102020836320 is an apocalyptic number.

102020836320 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 102020836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199204872048).

102020836320 is an abundant number, since it is smaller than the sum of its proper divisors (296388907776).

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

102020836320 is a wasteful number, since it uses less digits than its factorization.

102020836320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102020836320 its reverse (23638020201), we get a palindrome (125658856521).

The spelling of 102020836320 in words is "one hundred two billion, twenty million, eight hundred thirty-six thousand, three hundred twenty".