105002641 has 2 divisors, whose sum is σ = 105002642. Its totient is φ = 105002640.

The previous prime is 105002621. The next prime is 105002647. The reversal of 105002641 is 146200501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87329025 + 17673616 = 9345^2 + 4204^2 .

It is a cyclic number.

It is not a de Polignac number, because 105002641 - 2²³ = 96614033 is a prime.

It is a super-2 number, since 2×105002641² = 22051109233949762, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105002647) 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, 52501320 + 52501321.

It is an arithmetic number, because the mean of its divisors is an integer number (52501321).

Almost surely, 2^105002641 is an apocalyptic number.

It is an amenable number.

105002641 is a deficient number, since it is larger than the sum of its proper divisors (1).

105002641 is an equidigital number, since it uses as much as digits as its factorization.

105002641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 105002641 is about 10247.0796327539. The cubic root of 105002641 is about 471.7733533730.

The spelling of 105002641 in words is "one hundred five million, two thousand, six hundred forty-one".