106712838113 has 8 divisors (see below), whose sum is σ = 121964693760. Its totient is φ = 91462773600.

The previous prime is 106712838103. The next prime is 106712838119. The reversal of 106712838113 is 311838217601.

It is a happy number.

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 106712838113 - 2²⁴ = 106696060897 is a prime.

It is a super-2 number, since 2×106712838113² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106712838119) 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, 317588 + ... + 560613.

It is an arithmetic number, because the mean of its divisors is an integer number (15245586720).

Almost surely, 2^106712838113 is an apocalyptic number.

It is an amenable number.

106712838113 is a deficient number, since it is larger than the sum of its proper divisors (15251855647).

106712838113 is an equidigital number, since it uses as much as digits as its factorization.

106712838113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895567.

The product of its (nonzero) digits is 48384, while the sum is 41.

The spelling of 106712838113 in words is "one hundred six billion, seven hundred twelve million, eight hundred thirty-eight thousand, one hundred thirteen".