105516361 has 2 divisors, whose sum is σ = 105516362. Its totient is φ = 105516360.

The previous prime is 105516283. The next prime is 105516379. The reversal of 105516361 is 163615501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56250000 + 49266361 = 7500^2 + 7019^2 .

It is a cyclic number.

It is not a de Polignac number, because 105516361 - 2¹¹ = 105514313 is a prime.

It is a super-2 number, since 2×105516361² = 22267404877364642, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105516461) 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, 52758180 + 52758181.

It is an arithmetic number, because the mean of its divisors is an integer number (52758181).

Almost surely, 2^105516361 is an apocalyptic number.

It is an amenable number.

105516361 is a deficient number, since it is larger than the sum of its proper divisors (1).

105516361 is an equidigital number, since it uses as much as digits as its factorization.

105516361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 105516361 is about 10272.1157022300. The cubic root of 105516361 is about 472.5414776537.

The spelling of 105516361 in words is "one hundred five million, five hundred sixteen thousand, three hundred sixty-one".