102006689854608 has 480 divisors, whose sum is σ = 369551490048000. Its totient is φ = 25487196134400.

The previous prime is 102006689854591. The next prime is 102006689854613. The reversal of 102006689854608 is 806458986600201.

102006689854608 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 6 + 6 + 89 + 8 + 546 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 86555293 + ... + 87725891.

It is an arithmetic number, because the mean of its divisors is an integer number (769898937600).

Almost surely, 2^{102006689854608} is an apocalyptic number.

102006689854608 is a gapful number since it is divisible by the number (18) 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 102006689854608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184775745024000).

102006689854608 is an abundant number, since it is smaller than the sum of its proper divisors (267544800193392).

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

102006689854608 is a wasteful number, since it uses less digits than its factorization.

102006689854608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170931 (or 1170922 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 102006689854608 in words is "one hundred two trillion, six billion, six hundred eighty-nine million, eight hundred fifty-four thousand, six hundred eight".