10189056321 has 12 divisors (see below), whose sum is σ = 14725341540. Its totient is φ = 6789096960.

The previous prime is 10189056307. The next prime is 10189056323. The reversal of 10189056321 is 12365098101.

10189056321 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 90 + 563 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7276943025 + 2912113296 = 85305^2 + 53964^2 .

It is not a de Polignac number, because 10189056321 - 2¹⁷ = 10188925249 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10189056323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282660 + ... + 316661.

It is an arithmetic number, because the mean of its divisors is an integer number (1227111795).

Almost surely, 2^10189056321 is an apocalyptic number.

It is an amenable number.

10189056321 is a deficient number, since it is larger than the sum of its proper divisors (4536285219).

10189056321 is a wasteful number, since it uses less digits than its factorization.

10189056321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601216 (or 601213 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10189056321 in words is "ten billion, one hundred eighty-nine million, fifty-six thousand, three hundred twenty-one".