10500305841 has 9 divisors (see below), whose sum is σ = 15167552491. Its totient is φ = 6999998952.

The previous prime is 10500305831. The next prime is 10500305909. The reversal of 10500305841 is 14850300501.

The square root of 10500305841 is 102471.

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

10500305841 is a `hidden beast` number, since 1 + 0 + 50 + 0 + 30 + 584 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8059550625 + 2440755216 = 89775^2 + 49404^2 .

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

It is not a de Polignac number, because 10500305841 - 2²⁵ = 10466751409 is a prime.

It is a super-2 number, since 2×10500305841² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10500305831) 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, 290335 + ... + 324491.

Almost surely, 2^10500305841 is an apocalyptic number.

10500305841 is the 102471-st square number.

10500305841 is the 51236-th centered octagonal number.

It is an amenable number.

10500305841 is a deficient number, since it is larger than the sum of its proper divisors (4667246650).

10500305841 is an frugal number, since it uses more digits than its factorization.

10500305841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68320 (or 34160 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10500305841 in words is "ten billion, five hundred million, three hundred five thousand, eight hundred forty-one".