106424312517 has 12 divisors (see below), whose sum is σ = 155308791820. Its totient is φ = 70218102528.

The previous prime is 106424312503. The next prime is 106424312531. The reversal of 106424312517 is 715213424601.

106424312517 is a `hidden beast` number, since 1 + 0 + 642 + 4 + 3 + 1 + 2 + 5 + 1 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (106424312503) and next prime (106424312531).

It can be written as a sum of positive squares in 2 ways, for example, as 14720726241 + 91703586276 = 121329^2 + 302826^2 .

It is not a de Polignac number, because 106424312517 - 2¹² = 106424308421 is a prime.

It is a super-2 number, since 2×106424312517² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106424312537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60952342 + ... + 60954087.

Almost surely, 2^106424312517 is an apocalyptic number.

It is an amenable number.

106424312517 is a deficient number, since it is larger than the sum of its proper divisors (48884479303).

106424312517 is a wasteful number, since it uses less digits than its factorization.

106424312517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121906532 (or 121906529 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 106424312517 in words is "one hundred six billion, four hundred twenty-four million, three hundred twelve thousand, five hundred seventeen".