105511661 has 2 divisors, whose sum is σ = 105511662. Its totient is φ = 105511660.

The previous prime is 105511633. The next prime is 105511697. The reversal of 105511661 is 166115501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75151561 + 30360100 = 8669^2 + 5510^2 .

It is a cyclic number.

It is not a de Polignac number, because 105511661 - 2²⁶ = 38402797 is a prime.

It is a super-2 number, since 2×105511661² = 22265421213957842, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105511661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105511261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52755830 + 52755831.

It is an arithmetic number, because the mean of its divisors is an integer number (52755831).

Almost surely, 2^105511661 is an apocalyptic number.

It is an amenable number.

105511661 is a deficient number, since it is larger than the sum of its proper divisors (1).

105511661 is an equidigital number, since it uses as much as digits as its factorization.

105511661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 26.

The square root of 105511661 is about 10271.8869250007. The cubic root of 105511661 is about 472.5344614340.

The spelling of 105511661 in words is "one hundred five million, five hundred eleven thousand, six hundred sixty-one".