105825011 has 2 divisors, whose sum is σ = 105825012. Its totient is φ = 105825010.

The previous prime is 105824993. The next prime is 105825019. The reversal of 105825011 is 110528501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105825011 - 2¹⁴ = 105808627 is a prime.

It is a super-2 number, since 2×105825011² = 22397865906300242, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105825019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52912505 + 52912506.

It is an arithmetic number, because the mean of its divisors is an integer number (52912506).

Almost surely, 2^105825011 is an apocalyptic number.

105825011 is a deficient number, since it is larger than the sum of its proper divisors (1).

105825011 is an equidigital number, since it uses as much as digits as its factorization.

105825011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 400, while the sum is 23.

The square root of 105825011 is about 10287.1284137022. The cubic root of 105825011 is about 473.0017789312.

The spelling of 105825011 in words is "one hundred five million, eight hundred twenty-five thousand, eleven".