106544101070880 has 480 divisors, whose sum is σ = 412001939764800. Its totient is φ = 25715081594880.

The previous prime is 106544101070857. The next prime is 106544101070947. The reversal of 106544101070880 is 88070101445601.

106544101070880 is a `hidden beast` number, since 1 + 0 + 6 + 54 + 410 + 107 + 0 + 8 + 80 = 666.

106544101070880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×106544101070880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 30714946 + ... + 34007294.

It is an arithmetic number, because the mean of its divisors is an integer number (858337374510).

Almost surely, 2^{106544101070880} is an apocalyptic number.

106544101070880 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 106544101070880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206000969882400).

106544101070880 is an abundant number, since it is smaller than the sum of its proper divisors (305457838693920).

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

106544101070880 is a wasteful number, since it uses less digits than its factorization.

106544101070880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292614 (or 3292597 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 106544101070880 in words is "one hundred six trillion, five hundred forty-four billion, one hundred one million, seventy thousand, eight hundred eighty".