102006988312320 has 1080 divisors, whose sum is σ = 457252615157184. Its totient is φ = 21522339643392.

The previous prime is 102006988312319. The next prime is 102006988312337. The reversal of 102006988312320 is 23213889600201.

102006988312320 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 6 + 9 + 8 + 8 + 312 + 320 = 666.

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 (45).

It is a congruent number.

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, 65271897 + ... + 66816423.

Almost surely, 2^{102006988312320} is an apocalyptic number.

102006988312320 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 102006988312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228626307578592).

102006988312320 is an abundant number, since it is smaller than the sum of its proper divisors (355245626844864).

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

102006988312320 is a wasteful number, since it uses less digits than its factorization.

102006988312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544587 (or 1544557 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 102006988312320 in words is "one hundred two trillion, six billion, nine hundred eighty-eight million, three hundred twelve thousand, three hundred twenty".