102085326720 has 768 divisors, whose sum is σ = 400581417600. Its totient is φ = 23777574912.

The previous prime is 102085326661. The next prime is 102085326743. The reversal of 102085326720 is 27623580201.

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 95 ways as a sum of consecutive naturals, for example, 115090117 + ... + 115091003.

Almost surely, 2^102085326720 is an apocalyptic number.

102085326720 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 102085326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200290708800).

102085326720 is an abundant number, since it is smaller than the sum of its proper divisors (298496090880).

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

102085326720 is a wasteful number, since it uses less digits than its factorization.

102085326720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 102085326720 in words is "one hundred two billion, eighty-five million, three hundred twenty-six thousand, seven hundred twenty".