106648379759880 has 288 divisors, whose sum is σ = 403303398802200. Its totient is φ = 24370289620992.

The previous prime is 106648379759861. The next prime is 106648379759897. The reversal of 106648379759880 is 88957973846601.

106648379759880 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 483 + 7 + 9 + 7 + 59 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106587990629316 + 60389130564 = 10324146^2 + 245742^2 .

It is a super-2 number, since 2×106648379759880² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106648379759880.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65683114 + ... + 67287206.

Almost surely, 2^{106648379759880} is an apocalyptic number.

106648379759880 is a gapful number since it is divisible by the number (10) 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 106648379759880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201651699401100).

106648379759880 is an abundant number, since it is smaller than the sum of its proper divisors (296655019042320).

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

106648379759880 is a wasteful number, since it uses less digits than its factorization.

106648379759880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607893 (or 1607879 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 81.

The spelling of 106648379759880 in words is "one hundred six trillion, six hundred forty-eight billion, three hundred seventy-nine million, seven hundred fifty-nine thousand, eight hundred eighty".