106712807319 has 32 divisors (see below), whose sum is σ = 159682698240. Its totient is φ = 70427006496.

The previous prime is 106712807293. The next prime is 106712807339. The reversal of 106712807319 is 913708217601.

It is not a de Polignac number, because 106712807319 - 2⁵ = 106712807287 is a prime.

It is a super-2 number, since 2×106712807319² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106712807339) 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 31 ways as a sum of consecutive naturals, for example, 12112414 + ... + 12121220.

It is an arithmetic number, because the mean of its divisors is an integer number (4990084320).

Almost surely, 2^106712807319 is an apocalyptic number.

106712807319 is a deficient number, since it is larger than the sum of its proper divisors (52969890921).

106712807319 is a wasteful number, since it uses less digits than its factorization.

106712807319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13276 (or 13270 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 106712807319 in words is "one hundred six billion, seven hundred twelve million, eight hundred seven thousand, three hundred nineteen".