106813681344 has 140 divisors (see below), whose sum is σ = 326843550528. Its totient is φ = 34455974400.

The previous prime is 106813681327. The next prime is 106813681409. The reversal of 106813681344 is 443186318601.

It is a super-3 number, since 3×106813681344³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106813681344.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 171627 + ... + 493034.

Almost surely, 2^106813681344 is an apocalyptic number.

It is an amenable number.

106813681344 is an abundant number, since it is smaller than the sum of its proper divisors (220029869184).

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

106813681344 is an equidigital number, since it uses as much as digits as its factorization.

106813681344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664716 (or 664697 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

Adding to 106813681344 its reverse (443186318601), we get a palindrome (549999999945).

The spelling of 106813681344 in words is "one hundred six billion, eight hundred thirteen million, six hundred eighty-one thousand, three hundred forty-four".