105185441 has 2 divisors, whose sum is σ = 105185442. Its totient is φ = 105185440.

The previous prime is 105185401. The next prime is 105185453. The reversal of 105185441 is 144581501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95550625 + 9634816 = 9775^2 + 3104^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105185441 is a prime.

It is a super-2 number, since 2×105185441² = 22127953996728962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105185401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52592720 + 52592721.

It is an arithmetic number, because the mean of its divisors is an integer number (52592721).

Almost surely, 2^105185441 is an apocalyptic number.

It is an amenable number.

105185441 is a deficient number, since it is larger than the sum of its proper divisors (1).

105185441 is an equidigital number, since it uses as much as digits as its factorization.

105185441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3200, while the sum is 29.

The square root of 105185441 is about 10255.9953685637. The cubic root of 105185441 is about 472.0469660844.

The spelling of 105185441 in words is "one hundred five million, one hundred eighty-five thousand, four hundred forty-one".