105430513 has 2 divisors, whose sum is σ = 105430514. Its totient is φ = 105430512.

The previous prime is 105430499. The next prime is 105430517. The reversal of 105430513 is 315034501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95394289 + 10036224 = 9767^2 + 3168^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105430513 is a prime.

It is a super-2 number, since 2×105430513² = 22231186142886338, which contains 22 as substring.

It is equal to p_6056023 and since 105430513 and 6056023 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105430517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52715256 + 52715257.

It is an arithmetic number, because the mean of its divisors is an integer number (52715257).

Almost surely, 2^105430513 is an apocalyptic number.

It is an amenable number.

105430513 is a deficient number, since it is larger than the sum of its proper divisors (1).

105430513 is an equidigital number, since it uses as much as digits as its factorization.

105430513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 105430513 is about 10267.9361606897. The cubic root of 105430513 is about 472.4132898003.

The spelling of 105430513 in words is "one hundred five million, four hundred thirty thousand, five hundred thirteen".