106185340017 has 8 divisors (see below), whose sum is σ = 157311614880. Its totient is φ = 70790226660.

The previous prime is 106185340003. The next prime is 106185340031. The reversal of 106185340017 is 710043581601.

106185340017 is a `hidden beast` number, since 1 + 0 + 618 + 5 + 34 + 0 + 0 + 1 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (106185340003) and next prime (106185340031).

It is not a de Polignac number, because 106185340017 - 2¹⁰ = 106185338993 is a prime.

It is a super-2 number, since 2×106185340017² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106185340087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966395159 + ... + 1966395212.

It is an arithmetic number, because the mean of its divisors is an integer number (19663951860).

Almost surely, 2^106185340017 is an apocalyptic number.

It is an amenable number.

106185340017 is a deficient number, since it is larger than the sum of its proper divisors (51126274863).

106185340017 is an equidigital number, since it uses as much as digits as its factorization.

106185340017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932790380 (or 3932790374 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

It can be divided in two parts, 1061853 and 40017, that added together give a triangular number (1101870 = T₁₄₈₄).

The spelling of 106185340017 in words is "one hundred six billion, one hundred eighty-five million, three hundred forty thousand, seventeen".