106768346868 has 36 divisors (see below), whose sum is σ = 270267377380. Its totient is φ = 35539243776.

The previous prime is 106768346837. The next prime is 106768346917. The reversal of 106768346868 is 868643867601.

106768346868 is a `hidden beast` number, since 106 + 7 + 6 + 8 + 3 + 468 + 68 = 666.

106768346868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9132095844 + 97636251024 = 95562^2 + 312468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106768346868² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2066005 + ... + 2117052.

Almost surely, 2^106768346868 is an apocalyptic number.

106768346868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106768346868 is an abundant number, since it is smaller than the sum of its proper divisors (163499030512).

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

106768346868 is a wasteful number, since it uses less digits than its factorization.

106768346868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183776 (or 4183771 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 106768346868 in words is "one hundred six billion, seven hundred sixty-eight million, three hundred forty-six thousand, eight hundred sixty-eight".