102682080000 has 1080 divisors, whose sum is σ = 406753547200. Its totient is φ = 25754112000.

The previous prime is 102682079989. The next prime is 102682080023. The reversal of 102682080000 is 80286201.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 738719931 + ... + 738720069.

Almost surely, 2^102682080000 is an apocalyptic number.

102682080000 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 102682080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203376773600).

102682080000 is an abundant number, since it is smaller than the sum of its proper divisors (304071467200).

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

102682080000 is an frugal number, since it uses more digits than its factorization.

102682080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 102682080000 in words is "one hundred two billion, six hundred eighty-two million, eighty thousand".