106045255013 has 2 divisors, whose sum is σ = 106045255014. Its totient is φ = 106045255012.

The previous prime is 106045254949. The next prime is 106045255031. The reversal of 106045255013 is 310552540601.

Together with next prime (106045255031) 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., 101619413284 + 4425841729 = 318778^2 + 66527^2 .

It is a cyclic number.

It is not a de Polignac number, because 106045255013 - 2⁶ = 106045254949 is a prime.

It is a super-2 number, since 2×106045255013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106045255073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53022627506 + 53022627507.

It is an arithmetic number, because the mean of its divisors is an integer number (53022627507).

Almost surely, 2^106045255013 is an apocalyptic number.

It is an amenable number.

106045255013 is a deficient number, since it is larger than the sum of its proper divisors (1).

106045255013 is an equidigital number, since it uses as much as digits as its factorization.

106045255013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 106045255013 its reverse (310552540601), we get a palindrome (416597795614).

The spelling of 106045255013 in words is "one hundred six billion, forty-five million, two hundred fifty-five thousand, thirteen".