105056105521 has 8 divisors (see below), whose sum is σ = 111241637064. Its totient is φ = 98871214080.

The previous prime is 105056105507. The next prime is 105056105527. The reversal of 105056105521 is 125501650501.

It can be written as a sum of positive squares in 4 ways, for example, as 14680714896 + 90375390625 = 121164^2 + 300625^2 .

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 105056105521 - 2¹³ = 105056097329 is a prime.

It is a super-2 number, since 2×105056105521² (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 (105056105527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201201 + ... + 500593.

It is an arithmetic number, because the mean of its divisors is an integer number (13905204633).

Almost surely, 2^105056105521 is an apocalyptic number.

It is an amenable number.

105056105521 is a deficient number, since it is larger than the sum of its proper divisors (6185531543).

105056105521 is a wasteful number, since it uses less digits than its factorization.

105056105521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320051.

The product of its (nonzero) digits is 7500, while the sum is 31.

The spelling of 105056105521 in words is "one hundred five billion, fifty-six million, one hundred five thousand, five hundred twenty-one".