105500321 has 2 divisors, whose sum is σ = 105500322. Its totient is φ = 105500320.

The previous prime is 105500309. The next prime is 105500327. The reversal of 105500321 is 123005501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100500625 + 4999696 = 10025^2 + 2236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105500321 is a prime.

It is a super-2 number, since 2×105500321² = 22260635462206082, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105500321.

It is not a weakly prime, because it can be changed into another prime (105500327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52750160 + 52750161.

It is an arithmetic number, because the mean of its divisors is an integer number (52750161).

Almost surely, 2^105500321 is an apocalyptic number.

It is an amenable number.

105500321 is a deficient number, since it is larger than the sum of its proper divisors (1).

105500321 is an equidigital number, since it uses as much as digits as its factorization.

105500321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 105500321 is about 10271.3349181107. The cubic root of 105500321 is about 472.5175320800.

Adding to 105500321 its reverse (123005501), we get a palindrome (228505822).

The spelling of 105500321 in words is "one hundred five million, five hundred thousand, three hundred twenty-one".