105013261 has 2 divisors, whose sum is σ = 105013262. Its totient is φ = 105013260.

The previous prime is 105013253. The next prime is 105013277. The reversal of 105013261 is 162310501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72352036 + 32661225 = 8506^2 + 5715^2 .

It is an emirp because it is prime and its reverse (162310501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105013261 - 2³ = 105013253 is a prime.

It is a super-2 number, since 2×105013261² = 22055569971708242, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105013241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52506630 + 52506631.

It is an arithmetic number, because the mean of its divisors is an integer number (52506631).

Almost surely, 2^105013261 is an apocalyptic number.

It is an amenable number.

105013261 is a deficient number, since it is larger than the sum of its proper divisors (1).

105013261 is an equidigital number, since it uses as much as digits as its factorization.

105013261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 105013261 is about 10247.5978160738. The cubic root of 105013261 is about 471.7892579384.

Adding to 105013261 its reverse (162310501), we get a palindrome (267323762).

The spelling of 105013261 in words is "one hundred five million, thirteen thousand, two hundred sixty-one".