105515261 has 2 divisors, whose sum is σ = 105515262. Its totient is φ = 105515260.

The previous prime is 105515239. The next prime is 105515281. The reversal of 105515261 is 162515501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96628900 + 8886361 = 9830^2 + 2981^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105515261 is a prime.

It is a super-2 number, since 2×105515261² = 22266940607796242, 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 105515261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105515281) 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, 52757630 + 52757631.

It is an arithmetic number, because the mean of its divisors is an integer number (52757631).

Almost surely, 2^105515261 is an apocalyptic number.

It is an amenable number.

105515261 is a deficient number, since it is larger than the sum of its proper divisors (1).

105515261 is an equidigital number, since it uses as much as digits as its factorization.

105515261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1500, while the sum is 26.

The square root of 105515261 is about 10272.0621590798. The cubic root of 105515261 is about 472.5398355784.

The spelling of 105515261 in words is "one hundred five million, five hundred fifteen thousand, two hundred sixty-one".