105445207168 has 128 divisors (see below), whose sum is σ = 246904300800. Its totient is φ = 43908894720.

The previous prime is 105445207163. The next prime is 105445207171. The reversal of 105445207168 is 861702544501.

105445207168 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 (128).

It is a super-2 number, since 2×105445207168² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105445207163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30464958 + ... + 30468418.

It is an arithmetic number, because the mean of its divisors is an integer number (1928939850).

Almost surely, 2^105445207168 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 105445207168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123452150400).

105445207168 is an abundant number, since it is smaller than the sum of its proper divisors (141459093632).

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

105445207168 is an equidigital number, since it uses as much as digits as its factorization.

105445207168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4438 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 105445207168 in words is "one hundred five billion, four hundred forty-five million, two hundred seven thousand, one hundred sixty-eight".