105305442064 has 45 divisors (see below), whose sum is σ = 210903783381. Its totient is φ = 50934775680.

The previous prime is 105305442023. The next prime is 105305442079. The reversal of 105305442064 is 460244503501.

The square root of 105305442064 is 324508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 102745891600 + 2559550464 = 320540^2 + 50592^2 .

It is a super-2 number, since 2×105305442064² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40237684 + ... + 40240300.

Almost surely, 2^105305442064 is an apocalyptic number.

105305442064 is the 324508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105305442064

105305442064 is an abundant number, since it is smaller than the sum of its proper divisors (105598341317).

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

105305442064 is an frugal number, since it uses more digits than its factorization.

105305442064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5304 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 105305442064 its reverse (460244503501), we get a palindrome (565549945565).

The spelling of 105305442064 in words is "one hundred five billion, three hundred five million, four hundred forty-two thousand, sixty-four".