105974509 has 2 divisors, whose sum is σ = 105974510. Its totient is φ = 105974508.

The previous prime is 105974467. The next prime is 105974513. The reversal of 105974509 is 905479501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100200100 + 5774409 = 10010^2 + 2403^2 .

It is an emirp because it is prime and its reverse (905479501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105974509 - 2¹³ = 105966317 is a prime.

It is a super-2 number, since 2×105974509² = 22461193115582162, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105974579) 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, 52987254 + 52987255.

It is an arithmetic number, because the mean of its divisors is an integer number (52987255).

Almost surely, 2^105974509 is an apocalyptic number.

It is an amenable number.

105974509 is a deficient number, since it is larger than the sum of its proper divisors (1).

105974509 is an equidigital number, since it uses as much as digits as its factorization.

105974509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56700, while the sum is 40.

The square root of 105974509 is about 10294.3921141561. The cubic root of 105974509 is about 473.2244091864.

The spelling of 105974509 in words is "one hundred five million, nine hundred seventy-four thousand, five hundred nine".