106605571313 has 2 divisors, whose sum is σ = 106605571314. Its totient is φ = 106605571312.

The previous prime is 106605571301. The next prime is 106605571339. The reversal of 106605571313 is 313175506601.

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., 85460921569 + 21144649744 = 292337^2 + 145412^2 .

It is a cyclic number.

It is not a de Polignac number, because 106605571313 - 2¹⁰ = 106605570289 is a prime.

It is a super-2 number, since 2×106605571313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106605577313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53302785656 + 53302785657.

It is an arithmetic number, because the mean of its divisors is an integer number (53302785657).

Almost surely, 2^106605571313 is an apocalyptic number.

It is an amenable number.

106605571313 is a deficient number, since it is larger than the sum of its proper divisors (1).

106605571313 is an equidigital number, since it uses as much as digits as its factorization.

106605571313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56700, while the sum is 38.

The spelling of 106605571313 in words is "one hundred six billion, six hundred five million, five hundred seventy-one thousand, three hundred thirteen".