106506613817 has 2 divisors, whose sum is σ = 106506613818. Its totient is φ = 106506613816.

The previous prime is 106506613781. The next prime is 106506613859. The reversal of 106506613817 is 718316605601.

Together with previous prime (106506613781) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92891457961 + 13615155856 = 304781^2 + 116684^2 .

It is a cyclic number.

It is not a de Polignac number, because 106506613817 - 2¹⁴ = 106506597433 is a prime.

It is a super-2 number, since 2×106506613817² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106506613117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53253306908 + 53253306909.

It is an arithmetic number, because the mean of its divisors is an integer number (53253306909).

Almost surely, 2^106506613817 is an apocalyptic number.

It is an amenable number.

106506613817 is a deficient number, since it is larger than the sum of its proper divisors (1).

106506613817 is an equidigital number, since it uses as much as digits as its factorization.

106506613817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 106506613817 in words is "one hundred six billion, five hundred six million, six hundred thirteen thousand, eight hundred seventeen".