105441730721 has 8 divisors (see below), whose sum is σ = 109084833000. Its totient is φ = 101799107200.

The previous prime is 105441730661. The next prime is 105441730727. The reversal of 105441730721 is 127037144501.

It can be written as a sum of positive squares in 4 ways, for example, as 49693326400 + 55748404321 = 222920^2 + 236111^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105441730721 - 2³⁴ = 88261861537 is a prime.

It is a super-2 number, since 2×105441730721² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105441730727) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 361205 + ... + 584253.

It is an arithmetic number, because the mean of its divisors is an integer number (13635604125).

Almost surely, 2^105441730721 is an apocalyptic number.

It is an amenable number.

105441730721 is a deficient number, since it is larger than the sum of its proper divisors (3643102279).

105441730721 is a wasteful number, since it uses less digits than its factorization.

105441730721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239379.

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 105441730721 in words is "one hundred five billion, four hundred forty-one million, seven hundred thirty thousand, seven hundred twenty-one".