10107584409581 has 2 divisors, whose sum is σ = 10107584409582. Its totient is φ = 10107584409580.

The previous prime is 10107584409553. The next prime is 10107584409613. The reversal of 10107584409581 is 18590448570101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9132755982025 + 974828427556 = 3022045^2 + 987334^2 .

It is a cyclic number.

It is not a de Polignac number, because 10107584409581 - 2¹⁰ = 10107584408557 is a prime.

It is a super-2 number, since 2×10107584409581² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10107584400581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053792204790 + 5053792204791.

It is an arithmetic number, because the mean of its divisors is an integer number (5053792204791).

Almost surely, 2^{10107584409581} is an apocalyptic number.

It is an amenable number.

10107584409581 is a deficient number, since it is larger than the sum of its proper divisors (1).

10107584409581 is an equidigital number, since it uses as much as digits as its factorization.

10107584409581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1612800, while the sum is 53.

The spelling of 10107584409581 in words is "ten trillion, one hundred seven billion, five hundred eighty-four million, four hundred nine thousand, five hundred eighty-one".