105367321 has 2 divisors, whose sum is σ = 105367322. Its totient is φ = 105367320.

The previous prime is 105367319. The next prime is 105367363. The reversal of 105367321 is 123763501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61011721 + 44355600 = 7811^2 + 6660^2 .

It is a cyclic number.

It is not a de Polignac number, because 105367321 - 2¹ = 105367319 is a prime.

It is a super-2 number, since 2×105367321² = 22204544669434082, which contains 22 as substring.

Together with 105367319, it forms a pair of twin primes.

It is equal to p_6052582 and since 105367321 and 6052582 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105367321.

It is not a weakly prime, because it can be changed into another prime (105367391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52683660 + 52683661.

It is an arithmetic number, because the mean of its divisors is an integer number (52683661).

Almost surely, 2^105367321 is an apocalyptic number.

It is an amenable number.

105367321 is a deficient number, since it is larger than the sum of its proper divisors (1).

105367321 is an equidigital number, since it uses as much as digits as its factorization.

105367321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 105367321 is about 10264.8585474910. The cubic root of 105367321 is about 472.3188873165.

The spelling of 105367321 in words is "one hundred five million, three hundred sixty-seven thousand, three hundred twenty-one".