10065908241 has 27 divisors (see below), whose sum is σ = 14842676667. Its totient is φ = 6573556080.

The previous prime is 10065908239. The next prime is 10065908261. The reversal of 10065908241 is 14280956001.

The square root of 10065908241 is 100329.

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

10065908241 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7256484225 + 2809424016 = 85185^2 + 53004^2 .

It is not a de Polignac number, because 10065908241 - 2¹ = 10065908239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10065908196 and 10065908205.

It is not an unprimeable number, because it can be changed into a prime (10065908231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15951996 + ... + 15952626.

Almost surely, 2^10065908241 is an apocalyptic number.

10065908241 is the 100329-th square number.

10065908241 is the 50165-th centered octagonal number.

It is an amenable number.

10065908241 is a deficient number, since it is larger than the sum of its proper divisors (4776768426).

10065908241 is an frugal number, since it uses more digits than its factorization.

10065908241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 10065908241 by its sum of digits (36), we get a square (362372696676 = 601974²).

The spelling of 10065908241 in words is "ten billion, sixty-five million, nine hundred eight thousand, two hundred forty-one".