9978681100 has 72 divisors (see below), whose sum is σ = 22636051200. Its totient is φ = 3811030080.

The previous prime is 9978681091. The next prime is 9978681103. The reversal of 9978681100 is 11868799.

It is not an unprimeable number, because it can be changed into a prime (9978681103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374079 + ... + 1381321.

It is an arithmetic number, because the mean of its divisors is an integer number (314389600).

Almost surely, 2^9978681100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9978681100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11318025600).

9978681100 is an abundant number, since it is smaller than the sum of its proper divisors (12657370100).

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

9978681100 is a wasteful number, since it uses less digits than its factorization.

9978681100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7879 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 49.

The square root of 9978681100 is about 99893.3486274236. The cubic root of 9978681100 is about 2152.9025948389.

The spelling of 9978681100 in words is "nine billion, nine hundred seventy-eight million, six hundred eighty-one thousand, one hundred".