9978012100 has 81 divisors (see below), whose sum is σ = 25205016333. Its totient is φ = 3418635360.

The previous prime is 9978012073. The next prime is 9978012151. The reversal of 9978012100 is 12108799.

The square root of 9978012100 is 99890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3592084356 + 6385927744 = 59934^2 + 79912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9978012100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6991587 + ... + 6993013.

Almost surely, 2^9978012100 is an apocalyptic number.

9978012100 is the 99890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9978012100

9978012100 is an abundant number, since it is smaller than the sum of its proper divisors (15227004233).

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

9978012100 is a wasteful number, since it uses less digits than its factorization.

9978012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 37.

The cubic root of 9978012100 is about 2152.8544814657.

The spelling of 9978012100 in words is "nine billion, nine hundred seventy-eight million, twelve thousand, one hundred".