106418089313 has 2 divisors, whose sum is σ = 106418089314. Its totient is φ = 106418089312.

The previous prime is 106418089243. The next prime is 106418089343. The reversal of 106418089313 is 313980814601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71811672529 + 34606416784 = 267977^2 + 186028^2 .

It is an emirp because it is prime and its reverse (313980814601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106418089313 - 2¹² = 106418085217 is a prime.

It is a super-2 number, since 2×106418089313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106418089343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53209044656 + 53209044657.

It is an arithmetic number, because the mean of its divisors is an integer number (53209044657).

Almost surely, 2^106418089313 is an apocalyptic number.

It is an amenable number.

106418089313 is a deficient number, since it is larger than the sum of its proper divisors (1).

106418089313 is an equidigital number, since it uses as much as digits as its factorization.

106418089313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 124416, while the sum is 44.

The spelling of 106418089313 in words is "one hundred six billion, four hundred eighteen million, eighty-nine thousand, three hundred thirteen".