105505601060521 has 2 divisors, whose sum is σ = 105505601060522. Its totient is φ = 105505601060520.

The previous prime is 105505601060477. The next prime is 105505601060543. The reversal of 105505601060521 is 125060106505501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105291486634896 + 214114425625 = 10261164^2 + 462725^2 .

It is a cyclic number.

It is not a de Polignac number, because 105505601060521 - 2³⁷ = 105368162107049 is a prime.

It is a super-2 number, since 2×105505601060521² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105505601060021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52752800530260 + 52752800530261.

It is an arithmetic number, because the mean of its divisors is an integer number (52752800530261).

Almost surely, 2^{105505601060521} is an apocalyptic number.

It is an amenable number.

105505601060521 is a deficient number, since it is larger than the sum of its proper divisors (1).

105505601060521 is an equidigital number, since it uses as much as digits as its factorization.

105505601060521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45000, while the sum is 37.

The spelling of 105505601060521 in words is "one hundred five trillion, five hundred five billion, six hundred one million, sixty thousand, five hundred twenty-one".