100337904968161 has 27 divisors (see below), whose sum is σ = 117186629668563. Its totient is φ = 85661160910080.

The previous prime is 100337904968137. The next prime is 100337904968173. The reversal of 100337904968161 is 161869409733001.

The square root of 100337904968161 is 10016881.

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., 73001320134561 + 27336584833600 = 8544081^2 + 5228440^2 .

It is not a de Polignac number, because 100337904968161 - 2²⁹ = 100337368097249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100337904968096 and 100337904968105.

It is not an unprimeable number, because it can be changed into a prime (100337904968101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18441075201 + ... + 18441080641.

Almost surely, 2^{100337904968161} is an apocalyptic number.

100337904968161 is the 10016881-st square number.

100337904968161 is the 5008441-st centered octagonal number.

It is an amenable number.

100337904968161 is a deficient number, since it is larger than the sum of its proper divisors (16848724700402).

100337904968161 is an frugal number, since it uses more digits than its factorization.

100337904968161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11422 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 58.

The spelling of 100337904968161 in words is "one hundred trillion, three hundred thirty-seven billion, nine hundred four million, nine hundred sixty-eight thousand, one hundred sixty-one".