105085733 has 2 divisors, whose sum is σ = 105085734. Its totient is φ = 105085732.

The previous prime is 105085727. The next prime is 105085847. The reversal of 105085733 is 337580501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70593604 + 34492129 = 8402^2 + 5873^2 .

It is a cyclic number.

It is not a de Polignac number, because 105085733 - 2¹⁶ = 105020197 is a prime.

It is a super-2 number, since 2×105085733² = 22086022560294578, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105085733.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105085703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52542866 + 52542867.

It is an arithmetic number, because the mean of its divisors is an integer number (52542867).

Almost surely, 2^105085733 is an apocalyptic number.

It is an amenable number.

105085733 is a deficient number, since it is larger than the sum of its proper divisors (1).

105085733 is an equidigital number, since it uses as much as digits as its factorization.

105085733 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 105085733 is about 10251.1332544261. The cubic root of 105085733 is about 471.8977637543.

The spelling of 105085733 in words is "one hundred five million, eighty-five thousand, seven hundred thirty-three".