102060816480 has 1728 divisors, whose sum is σ = 471385474560. Its totient is φ = 20316635136.

The previous prime is 102060816443. The next prime is 102060816491. The reversal of 102060816480 is 84618060201.

102060816480 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 0 + 8 + 1 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 2373507339 + ... + 2373507381.

It is an arithmetic number, because the mean of its divisors is an integer number (272792520).

Almost surely, 2^102060816480 is an apocalyptic number.

102060816480 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 102060816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235692737280).

102060816480 is an abundant number, since it is smaller than the sum of its proper divisors (369324658080).

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

102060816480 is an equidigital number, since it uses as much as digits as its factorization.

102060816480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 102060816480 its reverse (84618060201), we get a palindrome (186678876681).

The spelling of 102060816480 in words is "one hundred two billion, sixty million, eight hundred sixteen thousand, four hundred eighty".