105035257266241 has 27 divisors (see below), whose sum is σ = 113447845694313. Its totient is φ = 97226272149120.

The previous prime is 105035257266227. The next prime is 105035257266257. The reversal of 105035257266241 is 142662752530501.

The square root of 105035257266241 is 10248671.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9691671791025 + 95343585475216 = 3113145^2 + 9764404^2 .

It is not a de Polignac number, because 105035257266241 - 2⁷ = 105035257266113 is a prime.

It is a super-2 number, since 2×105035257266241² (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 (105035257236241) 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, 10627866886 + ... + 10627876768.

Almost surely, 2^{105035257266241} is an apocalyptic number.

105035257266241 is the 10248671-st square number.

105035257266241 is the 5124336-th centered octagonal number.

It is an amenable number.

105035257266241 is a deficient number, since it is larger than the sum of its proper divisors (8412588428072).

105035257266241 is an frugal number, since it uses more digits than its factorization.

105035257266241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19922 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 49.

The spelling of 105035257266241 in words is "one hundred five trillion, thirty-five billion, two hundred fifty-seven million, two hundred sixty-six thousand, two hundred forty-one".