100979828472384 has 189 divisors, whose sum is σ = 305489790196617. Its totient is φ = 31886919848448.

The previous prime is 100979828472343. The next prime is 100979828472443. The reversal of 100979828472384 is 483274828979001.

The square root of 100979828472384 is 10048872.

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

100979828472384 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 79 + 8 + 2 + 8 + 472 + 3 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10914565838400 + 90065262633984 = 3303720^2 + 9490272^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 4582274614 + ... + 4582296650.

Almost surely, 2^{100979828472384} is an apocalyptic number.

100979828472384 is the 10048872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100979828472384

100979828472384 is an abundant number, since it is smaller than the sum of its proper divisors (204509961724233).

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

100979828472384 is an frugal number, since it uses more digits than its factorization.

100979828472384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44130 (or 22061 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 100979828472384 in words is "one hundred trillion, nine hundred seventy-nine billion, eight hundred twenty-eight million, four hundred seventy-two thousand, three hundred eighty-four".