106795338768 has 120 divisors (see below), whose sum is σ = 309456233216. Its totient is φ = 34345555200.

The previous prime is 106795338761. The next prime is 106795338779. The reversal of 106795338768 is 867833597601.

106795338768 is a `hidden beast` number, since 10 + 6 + 7 + 9 + 533 + 87 + 6 + 8 = 666.

It is a super-2 number, since 2×106795338768² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106795338761) 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 23 ways as a sum of consecutive naturals, for example, 1441446 + ... + 1513722.

Almost surely, 2^106795338768 is an apocalyptic number.

106795338768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106795338768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154728116608).

106795338768 is an abundant number, since it is smaller than the sum of its proper divisors (202660894448).

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

106795338768 is a wasteful number, since it uses less digits than its factorization.

106795338768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72653 (or 72644 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 106795338768 in words is "one hundred six billion, seven hundred ninety-five million, three hundred thirty-eight thousand, seven hundred sixty-eight".