102217820760 has 768 divisors, whose sum is σ = 387116496000. Its totient is φ = 23162388480.

The previous prime is 102217820723. The next prime is 102217820773. The reversal of 102217820760 is 67028712201.

102217820760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 746115412 + ... + 746115548.

Almost surely, 2^102217820760 is an apocalyptic number.

102217820760 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 102217820760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193558248000).

102217820760 is an abundant number, since it is smaller than the sum of its proper divisors (284898675240).

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

102217820760 is a wasteful number, since it uses less digits than its factorization.

102217820760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 102217820760 in words is "one hundred two billion, two hundred seventeen million, eight hundred twenty thousand, seven hundred sixty".