105305504941 has 8 divisors (see below), whose sum is σ = 129606775424. Its totient is φ = 83318641200.

The previous prime is 105305504923. The next prime is 105305504947. The reversal of 105305504941 is 149405503501.

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 105305504941 - 2⁷ = 105305504813 is a prime.

It is a super-2 number, since 2×105305504941² (a number of 23 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 105305504941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105305504947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578601585 + ... + 578601766.

It is an arithmetic number, because the mean of its divisors is an integer number (16200846928).

Almost surely, 2^105305504941 is an apocalyptic number.

It is an amenable number.

105305504941 is a deficient number, since it is larger than the sum of its proper divisors (24301270483).

105305504941 is a wasteful number, since it uses less digits than its factorization.

105305504941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157203371.

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 105305504941 in words is "one hundred five billion, three hundred five million, five hundred four thousand, nine hundred forty-one".