106006452113 has 2 divisors, whose sum is σ = 106006452114. Its totient is φ = 106006452112.

The previous prime is 106006452109. The next prime is 106006452137. The reversal of 106006452113 is 311254600601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103972712704 + 2033739409 = 322448^2 + 45097^2 .

It is a cyclic number.

It is not a de Polignac number, because 106006452113 - 2² = 106006452109 is a prime.

It is a super-2 number, since 2×106006452113² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106006452413) 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, 53003226056 + 53003226057.

It is an arithmetic number, because the mean of its divisors is an integer number (53003226057).

Almost surely, 2^106006452113 is an apocalyptic number.

It is an amenable number.

106006452113 is a deficient number, since it is larger than the sum of its proper divisors (1).

106006452113 is an equidigital number, since it uses as much as digits as its factorization.

106006452113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 106006452113 in words is "one hundred six billion, six million, four hundred fifty-two thousand, one hundred thirteen".