105004661 has 2 divisors, whose sum is σ = 105004662. Its totient is φ = 105004660.

The previous prime is 105004651. The next prime is 105004673. The reversal of 105004661 is 166400501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103836100 + 1168561 = 10190^2 + 1081^2 .

It is an emirp because it is prime and its reverse (166400501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105004661 - 2¹⁰ = 105003637 is a prime.

It is a super-3 number, since 3×105004661³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105004651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52502330 + 52502331.

It is an arithmetic number, because the mean of its divisors is an integer number (52502331).

Almost surely, 2^105004661 is an apocalyptic number.

It is an amenable number.

105004661 is a deficient number, since it is larger than the sum of its proper divisors (1).

105004661 is an equidigital number, since it uses as much as digits as its factorization.

105004661 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 105004661 is about 10247.1781969477. The cubic root of 105004661 is about 471.7763786178.

The spelling of 105004661 in words is "one hundred five million, four thousand, six hundred sixty-one".