10284648201 has 12 divisors (see below), whose sum is σ = 14869997428. Its totient is φ = 6849788544.

The previous prime is 10284648181. The next prime is 10284648221.

10284648201 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 4 + 648 + 2 + 0 + 1 = 666.

10284648201 is nontrivially palindromic in base 10.

10284648201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10284648181) and next prime (10284648221).

It can be written as a sum of positive squares in 2 ways, for example, as 9456590025 + 828058176 = 97245^2 + 28776^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10284648201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10284648221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543820 + ... + 562413.

Almost surely, 2^10284648201 is an apocalyptic number.

It is an amenable number.

10284648201 is a deficient number, since it is larger than the sum of its proper divisors (4585349227).

10284648201 is a wasteful number, since it uses less digits than its factorization.

10284648201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107272 (or 1107269 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

It can be divided in two parts, 10284648 and 201, that added together give a square (10284849 = 3207²).

The spelling of 10284648201 in words is "ten billion, two hundred eighty-four million, six hundred forty-eight thousand, two hundred one".