105722793701281 has 9 divisors (see below), whose sum is σ = 107755755991219. Its totient is φ = 103727489336536.

The previous prime is 105722793701263. The next prime is 105722793701297. The reversal of 105722793701281 is 182107397227501.

The square root of 105722793701281 is 10282159.

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., 76215257118225 + 29507536583056 = 8730135^2 + 5432084^2 .

It is not a de Polignac number, because 105722793701281 - 2¹³ = 105722793693089 is a prime.

It is a super-2 number, since 2×105722793701281² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105722793701251) 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, 544857426 + ... + 545051428.

Almost surely, 2^{105722793701281} is an apocalyptic number.

105722793701281 is the 10282159-th square number.

105722793701281 is the 5141080-th centered octagonal number.

It is an amenable number.

105722793701281 is a deficient number, since it is larger than the sum of its proper divisors (2032962289938).

105722793701281 is an frugal number, since it uses more digits than its factorization.

105722793701281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388112 (or 194056 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 55.

The spelling of 105722793701281 in words is "one hundred five trillion, seven hundred twenty-two billion, seven hundred ninety-three million, seven hundred one thousand, two hundred eighty-one".