105365085 has 48 divisors (see below), whose sum is σ = 198285696. Its totient is φ = 46801152.

The previous prime is 105365083. The next prime is 105365087. The reversal of 105365085 is 580563501.

It is an interprime number because it is at equal distance from previous prime (105365083) and next prime (105365087).

It is not a de Polignac number, because 105365085 - 2¹ = 105365083 is a prime.

It is a super-2 number, since 2×105365085² = 22203602274114450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105365081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143379 + ... + 144111.

It is an arithmetic number, because the mean of its divisors is an integer number (4130952).

Almost surely, 2^105365085 is an apocalyptic number.

105365085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105365085 is a deficient number, since it is larger than the sum of its proper divisors (92920611).

105365085 is an equidigital number, since it uses as much as digits as its factorization.

105365085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 105365085 is about 10264.7496316277. The cubic root of 105365085 is about 472.3155462664.

The spelling of 105365085 in words is "one hundred five million, three hundred sixty-five thousand, eighty-five".