102720082680 has 192 divisors, whose sum is σ = 337319424000. Its totient is φ = 27108069120.

The previous prime is 102720082657. The next prime is 102720082681. The reversal of 102720082680 is 86280027201.

It is a happy number.

102720082680 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 not an unprimeable number, because it can be changed into a prime (102720082681) 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 47 ways as a sum of consecutive naturals, for example, 13679487 + ... + 13686993.

It is an arithmetic number, because the mean of its divisors is an integer number (1756872000).

Almost surely, 2^102720082680 is an apocalyptic number.

102720082680 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 102720082680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168659712000).

102720082680 is an abundant number, since it is smaller than the sum of its proper divisors (234599341320).

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

102720082680 is a wasteful number, since it uses less digits than its factorization.

102720082680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914 (or 7907 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 102720082680 in words is "one hundred two billion, seven hundred twenty million, eighty-two thousand, six hundred eighty".