105434513 has 2 divisors, whose sum is σ = 105434514. Its totient is φ = 105434512.

The previous prime is 105434479. The next prime is 105434521. The reversal of 105434513 is 315434501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58553104 + 46881409 = 7652^2 + 6847^2 .

It is an emirp because it is prime and its reverse (315434501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105434513 - 2¹⁴ = 105418129 is a prime.

It is a super-2 number, since 2×105434513² = 22232873063094338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105434533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52717256 + 52717257.

It is an arithmetic number, because the mean of its divisors is an integer number (52717257).

Almost surely, 2^105434513 is an apocalyptic number.

It is an amenable number.

105434513 is a deficient number, since it is larger than the sum of its proper divisors (1).

105434513 is an equidigital number, since it uses as much as digits as its factorization.

105434513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 105434513 is about 10268.1309399520. The cubic root of 105434513 is about 472.4192641279.

The spelling of 105434513 in words is "one hundred five million, four hundred thirty-four thousand, five hundred thirteen".