105524261 has 2 divisors, whose sum is σ = 105524262. Its totient is φ = 105524260.

The previous prime is 105524257. The next prime is 105524281. The reversal of 105524261 is 162425501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63520900 + 42003361 = 7970^2 + 6481^2 .

It is a cyclic number.

It is not a de Polignac number, because 105524261 - 2² = 105524257 is a prime.

It is a super-2 number, since 2×105524261² = 22270739319192242, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105524261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105524231) 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, 52762130 + 52762131.

It is an arithmetic number, because the mean of its divisors is an integer number (52762131).

Almost surely, 2^105524261 is an apocalyptic number.

It is an amenable number.

105524261 is a deficient number, since it is larger than the sum of its proper divisors (1).

105524261 is an equidigital number, since it uses as much as digits as its factorization.

105524261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 105524261 is about 10272.5002311998. The cubic root of 105524261 is about 472.5532704047.

Adding to 105524261 its reverse (162425501), we get a palindrome (267949762).

The spelling of 105524261 in words is "one hundred five million, five hundred twenty-four thousand, two hundred sixty-one".