20105432006737 has 36 divisors (see below), whose sum is σ = 26593880693940. Its totient is φ = 15126343700160.

The previous prime is 20105432006719. The next prime is 20105432006747. The reversal of 20105432006737 is 73760023450102.

It can be written as a sum of positive squares in 2 ways, for example, as 7631566475841 + 12473865530896 = 2762529^2 + 3531836^2 .

It is not a de Polignac number, because 20105432006737 - 2¹⁹ = 20105431482449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20105432006737.

It is not an unprimeable number, because it can be changed into a prime (20105432006717) 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 35 ways as a sum of consecutive naturals, for example, 58294138 + ... + 58638019.

It is an arithmetic number, because the mean of its divisors is an integer number (738718908165).

Almost surely, 2^{20105432006737} is an apocalyptic number.

It is an amenable number.

20105432006737 is a deficient number, since it is larger than the sum of its proper divisors (6488448687203).

20105432006737 is a wasteful number, since it uses less digits than its factorization.

20105432006737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116932222 (or 116932204 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

Adding to 20105432006737 its reverse (73760023450102), we get a palindrome (93865455456839).

The spelling of 20105432006737 in words is "twenty trillion, one hundred five billion, four hundred thirty-two million, six thousand, seven hundred thirty-seven".