105070050426880 has 960 divisors, whose sum is σ = 322932091023360. Its totient is φ = 31869842227200.

The previous prime is 105070050426871. The next prime is 105070050426907. The reversal of 105070050426880 is 88624050070501.

It is a super-2 number, since 2×105070050426880² (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 105070050426880.

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 63 ways as a sum of consecutive naturals, for example, 38332742310 + ... + 38332745050.

It is an arithmetic number, because the mean of its divisors is an integer number (336387594816).

Almost surely, 2^{105070050426880} is an apocalyptic number.

105070050426880 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 105070050426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161466045511680).

105070050426880 is an abundant number, since it is smaller than the sum of its proper divisors (217862040596480).

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

105070050426880 is a wasteful number, since it uses less digits than its factorization.

105070050426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 105070050426880 in words is "one hundred five trillion, seventy billion, fifty million, four hundred twenty-six thousand, eight hundred eighty".