105331361 has 2 divisors, whose sum is σ = 105331362. Its totient is φ = 105331360.

The previous prime is 105331357. The next prime is 105331379. The reversal of 105331361 is 163133501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80640400 + 24690961 = 8980^2 + 4969^2 .

It is a cyclic number.

It is not a de Polignac number, because 105331361 - 2² = 105331357 is a prime.

It is a super-2 number, since 2×105331361² = 22189391220224642, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105331351) 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, 52665680 + 52665681.

It is an arithmetic number, because the mean of its divisors is an integer number (52665681).

Almost surely, 2^105331361 is an apocalyptic number.

It is an amenable number.

105331361 is a deficient number, since it is larger than the sum of its proper divisors (1).

105331361 is an equidigital number, since it uses as much as digits as its factorization.

105331361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 105331361 is about 10263.1067908309. The cubic root of 105331361 is about 472.2651498466.

Adding to 105331361 its reverse (163133501), we get a palindrome (268464862).

The spelling of 105331361 in words is "one hundred five million, three hundred thirty-one thousand, three hundred sixty-one".