105015730442 has 32 divisors (see below), whose sum is σ = 180390672000. Its totient is φ = 44915908608.

The previous prime is 105015730361. The next prime is 105015730447. The reversal of 105015730442 is 244037510501.

It is a super-2 number, since 2×105015730442² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105015730399 and 105015730408.

It is not an unprimeable number, because it can be changed into a prime (105015730447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20592809 + ... + 20597907.

It is an arithmetic number, because the mean of its divisors is an integer number (5637208500).

Almost surely, 2^105015730442 is an apocalyptic number.

105015730442 is a deficient number, since it is larger than the sum of its proper divisors (75374941558).

105015730442 is a wasteful number, since it uses less digits than its factorization.

105015730442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7790.

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 105015730442 in words is "one hundred five billion, fifteen million, seven hundred thirty thousand, four hundred forty-two".