100978140268944 has 225 divisors, whose sum is σ = 298660924969627. Its totient is φ = 32937676135488.

The previous prime is 100978140268927. The next prime is 100978140268963. The reversal of 100978140268944 is 449862041879001.

The square root of 100978140268944 is 10048788.

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

100978140268944 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 7 + 81 + 402 + 68 + 94 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17002546327 + ... + 17002552265.

Almost surely, 2^{100978140268944} is an apocalyptic number.

100978140268944 is the 10048788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100978140268944

100978140268944 is an abundant number, since it is smaller than the sum of its proper divisors (197682784700683).

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

100978140268944 is an frugal number, since it uses more digits than its factorization.

100978140268944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11992 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 100978140268944 in words is "one hundred trillion, nine hundred seventy-eight billion, one hundred forty million, two hundred sixty-eight thousand, nine hundred forty-four".