105103513 has 2 divisors, whose sum is σ = 105103514. Its totient is φ = 105103512.

The previous prime is 105103507. The next prime is 105103517. The reversal of 105103513 is 315301501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105103504 + 9 = 10252^2 + 3^2 .

It is a cyclic number.

It is not a de Polignac number, because 105103513 - 2¹³ = 105095321 is a prime.

It is a super-2 number, since 2×105103513² = 22093496889882338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105103517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52551756 + 52551757.

It is an arithmetic number, because the mean of its divisors is an integer number (52551757).

Almost surely, 2^105103513 is an apocalyptic number.

It is an amenable number.

105103513 is a deficient number, since it is larger than the sum of its proper divisors (1).

105103513 is an equidigital number, since it uses as much as digits as its factorization.

105103513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 105103513 is about 10252.0004389387. Note that the first 3 decimals coincide. The cubic root of 105103513 is about 471.9243765298.

The spelling of 105103513 in words is "one hundred five million, one hundred three thousand, five hundred thirteen".