100921774436289 has 9 divisors (see below), whose sum is σ = 145775939940579. Its totient is φ = 67281162865560.

The previous prime is 100921774436281. The next prime is 100921774436323. The reversal of 100921774436289 is 982634477129001.

The square root of 100921774436289 is 10045983.

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

100921774436289 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 2 + 177 + 4 + 436 + 28 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90703395011889 + 10218379424400 = 9523833^2 + 3196620^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 100921774436289 - 2³ = 100921774436281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100921774436281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28463619 + ... + 31812279.

Almost surely, 2^{100921774436289} is an apocalyptic number.

100921774436289 is the 10045983-rd square number.

100921774436289 is the 5022992-nd centered octagonal number.

It is an amenable number.

100921774436289 is a deficient number, since it is larger than the sum of its proper divisors (44854165504290).

100921774436289 is an frugal number, since it uses more digits than its factorization.

100921774436289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697328 (or 3348664 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 100921774436289 in words is "one hundred trillion, nine hundred twenty-one billion, seven hundred seventy-four million, four hundred thirty-six thousand, two hundred eighty-nine".