101382980868 has 144 divisors (see below), whose sum is σ = 287441796096. Its totient is φ = 29923810560.

The previous prime is 101382980837. The next prime is 101382980879. The reversal of 101382980868 is 868089283101.

101382980868 is a `hidden beast` number, since 101 + 382 + 9 + 80 + 86 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1188205 + ... + 1270667.

It is an arithmetic number, because the mean of its divisors is an integer number (1996123584).

Almost surely, 2^101382980868 is an apocalyptic number.

101382980868 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 101382980868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143720898048).

101382980868 is an abundant number, since it is smaller than the sum of its proper divisors (186058815228).

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

101382980868 is a wasteful number, since it uses less digits than its factorization.

101382980868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82594 (or 82589 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 101382980868 in words is "one hundred one billion, three hundred eighty-two million, nine hundred eighty thousand, eight hundred sixty-eight".