101668608000 has 480 divisors, whose sum is σ = 379065566880. Its totient is φ = 27106099200.

The previous prime is 101668607993. The next prime is 101668608017. The reversal of 101668608000 is 806866101.

It is a tau number, because it is divible by the number of its divisors (480).

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 (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20733549 + ... + 20738451.

It is an arithmetic number, because the mean of its divisors is an integer number (789719931).

Almost surely, 2^101668608000 is an apocalyptic number.

101668608000 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 101668608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189532783440).

101668608000 is an abundant number, since it is smaller than the sum of its proper divisors (277396958880).

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

101668608000 is an frugal number, since it uses more digits than its factorization.

101668608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 101668608000 in words is "one hundred one billion, six hundred sixty-eight million, six hundred eight thousand".