105085847 has 2 divisors, whose sum is σ = 105085848. Its totient is φ = 105085846.

The previous prime is 105085733. The next prime is 105085861. The reversal of 105085847 is 748580501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105085847 - 2¹⁴ = 105069463 is a prime.

It is a super-2 number, since 2×105085847² = 22086070479414818, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105085847.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105087847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52542923 + 52542924.

It is an arithmetic number, because the mean of its divisors is an integer number (52542924).

Almost surely, 2^105085847 is an apocalyptic number.

105085847 is a deficient number, since it is larger than the sum of its proper divisors (1).

105085847 is an equidigital number, since it uses as much as digits as its factorization.

105085847 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 44800, while the sum is 38.

The square root of 105085847 is about 10251.1388147854. The cubic root of 105085847 is about 471.8979343969.

The spelling of 105085847 in words is "one hundred five million, eighty-five thousand, eight hundred forty-seven".