106728358662144 has 1664 divisors, whose sum is σ = 363503128412160. Its totient is φ = 30767579136000.

The previous prime is 106728358662137. The next prime is 106728358662173. The reversal of 106728358662144 is 441266853827601.

106728358662144 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 2 + 8 + 3 + 586 + 6 + 2 + 1 + 44 = 666.

It is a super-2 number, since 2×106728358662144² (a number of 29 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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92726635969 + ... + 92726637119.

Almost surely, 2^{106728358662144} 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 106728358662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181751564206080).

106728358662144 is an abundant number, since it is smaller than the sum of its proper divisors (256774769750016).

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

106728358662144 is a wasteful number, since it uses less digits than its factorization.

106728358662144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 106728358662144 in words is "one hundred six trillion, seven hundred twenty-eight billion, three hundred fifty-eight million, six hundred sixty-two thousand, one hundred forty-four".