105249643 has 2 divisors, whose sum is σ = 105249644. Its totient is φ = 105249642.

The previous prime is 105249631. The next prime is 105249653. The reversal of 105249643 is 346942501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105249643 - 2¹⁷ = 105118571 is a prime.

It is a super-2 number, since 2×105249643² = 22154974703254898, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105249599 and 105249608.

It is not a weakly prime, because it can be changed into another prime (105249653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52624821 + 52624822.

It is an arithmetic number, because the mean of its divisors is an integer number (52624822).

Almost surely, 2^105249643 is an apocalyptic number.

105249643 is a deficient number, since it is larger than the sum of its proper divisors (1).

105249643 is an equidigital number, since it uses as much as digits as its factorization.

105249643 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 105249643 is about 10259.1248652115. The cubic root of 105249643 is about 472.1429875968.

The spelling of 105249643 in words is "one hundred five million, two hundred forty-nine thousand, six hundred forty-three".