105198413 has 2 divisors, whose sum is σ = 105198414. Its totient is φ = 105198412.

The previous prime is 105198409. The next prime is 105198419. The reversal of 105198413 is 314891501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93760489 + 11437924 = 9683^2 + 3382^2 .

It is a cyclic number.

It is not a de Polignac number, because 105198413 - 2² = 105198409 is a prime.

It is a super-2 number, since 2×105198413² = 22133412195437138, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105198413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105198419) 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, 52599206 + 52599207.

It is an arithmetic number, because the mean of its divisors is an integer number (52599207).

Almost surely, 2^105198413 is an apocalyptic number.

It is an amenable number.

105198413 is a deficient number, since it is larger than the sum of its proper divisors (1).

105198413 is an equidigital number, since it uses as much as digits as its factorization.

105198413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 105198413 is about 10256.6277596489. The cubic root of 105198413 is about 472.0663703590.

The spelling of 105198413 in words is "one hundred five million, one hundred ninety-eight thousand, four hundred thirteen".