105521345521 has 8 divisors (see below), whose sum is σ = 106482705480. Its totient is φ = 104560468992.

The previous prime is 105521345491. The next prime is 105521345543. The reversal of 105521345521 is 125543125501.

It can be written as a sum of positive squares in 4 ways, for example, as 23335923121 + 82185422400 = 152761^2 + 286680^2 .

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 105521345521 - 2⁹ = 105521345009 is a prime.

It is a super-2 number, since 2×105521345521² (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 (105521345591) 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, 325141 + ... + 562813.

It is an arithmetic number, because the mean of its divisors is an integer number (13310338185).

Almost surely, 2^105521345521 is an apocalyptic number.

It is an amenable number.

105521345521 is a deficient number, since it is larger than the sum of its proper divisors (961359959).

105521345521 is a wasteful number, since it uses less digits than its factorization.

105521345521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241715.

The product of its (nonzero) digits is 30000, while the sum is 34.

The spelling of 105521345521 in words is "one hundred five billion, five hundred twenty-one million, three hundred forty-five thousand, five hundred twenty-one".