106068804128 has 240 divisors, whose sum is σ = 256342859136. Its totient is φ = 43117240320.

The previous prime is 106068804077. The next prime is 106068804167. The reversal of 106068804128 is 821408860601.

It is a super-2 number, since 2×106068804128² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 341057093 + ... + 341057403.

Almost surely, 2^106068804128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106068804128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128171429568).

106068804128 is an abundant number, since it is smaller than the sum of its proper divisors (150274055008).

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

106068804128 is an equidigital number, since it uses as much as digits as its factorization.

106068804128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The spelling of 106068804128 in words is "one hundred six billion, sixty-eight million, eight hundred four thousand, one hundred twenty-eight".