102728260680 has 128 divisors (see below), whose sum is σ = 311850000000. Its totient is φ = 27068811264.

The previous prime is 102728260651. The next prime is 102728260711. The reversal of 102728260680 is 86062827201.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 29357571 + ... + 29361069.

It is an arithmetic number, because the mean of its divisors is an integer number (2436328125).

Almost surely, 2^102728260680 is an apocalyptic number.

102728260680 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 102728260680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155925000000).

102728260680 is an abundant number, since it is smaller than the sum of its proper divisors (209121739320).

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

102728260680 is a wasteful number, since it uses less digits than its factorization.

102728260680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6351 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 102728260680 in words is "one hundred two billion, seven hundred twenty-eight million, two hundred sixty thousand, six hundred eighty".