106456504013 has 2 divisors, whose sum is σ = 106456504014. Its totient is φ = 106456504012.

The previous prime is 106456503971. The next prime is 106456504031. The reversal of 106456504013 is 310405654601.

Together with next prime (106456504031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65611285609 + 40845218404 = 256147^2 + 202102^2 .

It is a cyclic number.

It is not a de Polignac number, because 106456504013 - 2⁶ = 106456503949 is a prime.

It is a super-3 number, since 3×106456504013³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106456504213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53228252006 + 53228252007.

It is an arithmetic number, because the mean of its divisors is an integer number (53228252007).

Almost surely, 2^106456504013 is an apocalyptic number.

It is an amenable number.

106456504013 is a deficient number, since it is larger than the sum of its proper divisors (1).

106456504013 is an equidigital number, since it uses as much as digits as its factorization.

106456504013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 106456504013 in words is "one hundred six billion, four hundred fifty-six million, five hundred four thousand, thirteen".