105424261 has 16 divisors (see below), whose sum is σ = 110968704. Its totient is φ = 100062144.

The previous prime is 105424237. The next prime is 105424271. The reversal of 105424261 is 162424501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105424261 - 2¹⁵ = 105391493 is a prime.

It is a super-2 number, since 2×105424261² = 22228549614792242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105424201) 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 in 15 ways as a sum of consecutive naturals, for example, 380455 + ... + 380731.

It is an arithmetic number, because the mean of its divisors is an integer number (6935544).

Almost surely, 2^105424261 is an apocalyptic number.

It is an amenable number.

105424261 is a deficient number, since it is larger than the sum of its proper divisors (5544443).

105424261 is a wasteful number, since it uses less digits than its factorization.

105424261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 105424261 is about 10267.6317133018. The cubic root of 105424261 is about 472.4039516237.

Adding to 105424261 its reverse (162424501), we get a palindrome (267848762).

The spelling of 105424261 in words is "one hundred five million, four hundred twenty-four thousand, two hundred sixty-one".