106937397830917 has 16 divisors (see below), whose sum is σ = 108739263250800. Its totient is φ = 105148903749120.

The previous prime is 106937397830909. The next prime is 106937397830957. The reversal of 106937397830917 is 719038793739601.

It is a Cunningham number, because it is equal to 10341054²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 76882979670436 + 30054418160481 = 8768294^2 + 5482191^2 .

It is a cyclic number.

It is not a de Polignac number, because 106937397830917 - 2³ = 106937397830909 is a prime.

It is a super-2 number, since 2×106937397830917² (a number of 29 digits) contains 22 as substring.

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 106937397830917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106937397830957) 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 15 ways as a sum of consecutive naturals, for example, 893490283 + ... + 893609959.

It is an arithmetic number, because the mean of its divisors is an integer number (6796203953175).

Almost surely, 2^{106937397830917} is an apocalyptic number.

It is an amenable number.

106937397830917 is a deficient number, since it is larger than the sum of its proper divisors (1801865419883).

106937397830917 is a wasteful number, since it uses less digits than its factorization.

106937397830917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175416.

The product of its (nonzero) digits is 324060912, while the sum is 73.

The spelling of 106937397830917 in words is "one hundred six trillion, nine hundred thirty-seven billion, three hundred ninety-seven million, eight hundred thirty thousand, nine hundred seventeen".