105531538001 has 2 divisors, whose sum is σ = 105531538002. Its totient is φ = 105531538000.

The previous prime is 105531537971. The next prime is 105531538003. The reversal of 105531538001 is 100835135501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93222744976 + 12308793025 = 305324^2 + 110945^2 .

It is a cyclic number.

It is not a de Polignac number, because 105531538001 - 2¹⁰ = 105531536977 is a prime.

It is a super-2 number, since 2×105531538001² (a number of 23 digits) contains 22 as substring.

Together with 105531538003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105531538003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52765769000 + 52765769001.

It is an arithmetic number, because the mean of its divisors is an integer number (52765769001).

Almost surely, 2^105531538001 is an apocalyptic number.

It is an amenable number.

105531538001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105531538001 is an equidigital number, since it uses as much as digits as its factorization.

105531538001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 105531538001 in words is "one hundred five billion, five hundred thirty-one million, five hundred thirty-eight thousand, one".