101668593920 has 72 divisors (see below), whose sum is σ = 243673894296. Its totient is φ = 40643084288.

The previous prime is 101668593919. The next prime is 101668593937. The reversal of 101668593920 is 29395866101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12835983616 + 88832610304 = 113296^2 + 298048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2195324 + ... + 2241156.

It is an arithmetic number, because the mean of its divisors is an integer number (3384359643).

Almost surely, 2^101668593920 is an apocalyptic number.

101668593920 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 101668593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121836947148).

101668593920 is an abundant number, since it is smaller than the sum of its proper divisors (142005300376).

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

101668593920 is an equidigital number, since it uses as much as digits as its factorization.

101668593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47587 (or 47573 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The spelling of 101668593920 in words is "one hundred one billion, six hundred sixty-eight million, five hundred ninety-three thousand, nine hundred twenty".