10201584145 has 16 divisors (see below), whose sum is σ = 12987533520. Its totient is φ = 7666069504.

The previous prime is 10201584143. The next prime is 10201584193. The reversal of 10201584145 is 54148510201.

It can be written as a sum of positive squares in 8 ways, for example, as 66732561 + 10134851584 = 8169^2 + 100672^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201584145 - 2¹ = 10201584143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201584143) 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 15 ways as a sum of consecutive naturals, for example, 74632 + ... + 161161.

It is an arithmetic number, because the mean of its divisors is an integer number (811720845).

Almost surely, 2^10201584145 is an apocalyptic number.

It is an amenable number.

10201584145 is a deficient number, since it is larger than the sum of its proper divisors (2785949375).

10201584145 is a wasteful number, since it uses less digits than its factorization.

10201584145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236324.

The product of its (nonzero) digits is 6400, while the sum is 31.

The spelling of 10201584145 in words is "ten billion, two hundred one million, five hundred eighty-four thousand, one hundred forty-five".