106517237713 has 8 divisors (see below), whose sum is σ = 110199266280. Its totient is φ = 102835810560.

The previous prime is 106517237711. The next prime is 106517237753. The reversal of 106517237713 is 317732715601.

It can be written as a sum of positive squares in 4 ways, for example, as 53869017409 + 52648220304 = 232097^2 + 229452^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106517237713 - 2¹ = 106517237711 is a prime.

It is a super-4 number, since 4×106517237713⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106517237713.

It is not an unprimeable number, because it can be changed into a prime (106517237711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225993 + ... + 513913.

It is an arithmetic number, because the mean of its divisors is an integer number (13774908285).

Almost surely, 2^106517237713 is an apocalyptic number.

It is an amenable number.

106517237713 is a deficient number, since it is larger than the sum of its proper divisors (3682028567).

106517237713 is a wasteful number, since it uses less digits than its factorization.

106517237713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300707.

The product of its (nonzero) digits is 185220, while the sum is 43.

The spelling of 106517237713 in words is "one hundred six billion, five hundred seventeen million, two hundred thirty-seven thousand, seven hundred thirteen".