10005060105437 has 2 divisors, whose sum is σ = 10005060105438. Its totient is φ = 10005060105436.

The previous prime is 10005060105433. The next prime is 10005060105503. The reversal of 10005060105437 is 73450106050001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5831133471076 + 4173926634361 = 2414774^2 + 2043019^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005060105437 - 2² = 10005060105433 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005060105433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002530052718 + 5002530052719.

It is an arithmetic number, because the mean of its divisors is an integer number (5002530052719).

Almost surely, 2^{10005060105437} is an apocalyptic number.

It is an amenable number.

10005060105437 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005060105437 is an equidigital number, since it uses as much as digits as its factorization.

10005060105437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

Adding to 10005060105437 its reverse (73450106050001), we get a palindrome (83455166155438).

The spelling of 10005060105437 in words is "ten trillion, five billion, sixty million, one hundred five thousand, four hundred thirty-seven".