106712631344 has 20 divisors (see below), whose sum is σ = 225551698440. Its totient is φ = 48505741440.

The previous prime is 106712631307. The next prime is 106712631349. The reversal of 106712631344 is 443136217601.

106712631344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106712631344² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106712631298 and 106712631307.

It is not an unprimeable number, because it can be changed into a prime (106712631349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 303160709 + ... + 303161060.

It is an arithmetic number, because the mean of its divisors is an integer number (11277584922).

Almost surely, 2^106712631344 is an apocalyptic number.

It is an amenable number.

106712631344 is an abundant number, since it is smaller than the sum of its proper divisors (118839067096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106712631344 is a wasteful number, since it uses less digits than its factorization.

106712631344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606321788 (or 606321782 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

Adding to 106712631344 its reverse (443136217601), we get a palindrome (549848848945).

The spelling of 106712631344 in words is "one hundred six billion, seven hundred twelve million, six hundred thirty-one thousand, three hundred forty-four".