105825851 has 2 divisors, whose sum is σ = 105825852. Its totient is φ = 105825850.

The previous prime is 105825823. The next prime is 105825857. The reversal of 105825851 is 158528501.

It is a strong prime.

It is an emirp because it is prime and its reverse (158528501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105825851 is a prime.

It is a super-2 number, since 2×105825851² = 22398221479748402, which contains 22 as substring.

It is a Chen prime.

It is equal to p_6077393 and since 105825851 and 6077393 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105825857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52912925 + 52912926.

It is an arithmetic number, because the mean of its divisors is an integer number (52912926).

Almost surely, 2^105825851 is an apocalyptic number.

105825851 is a deficient number, since it is larger than the sum of its proper divisors (1).

105825851 is an equidigital number, since it uses as much as digits as its factorization.

105825851 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16000, while the sum is 35.

The square root of 105825851 is about 10287.1692413414. The cubic root of 105825851 is about 473.0030304326.

The spelling of 105825851 in words is "one hundred five million, eight hundred twenty-five thousand, eight hundred fifty-one".