105073733 has 2 divisors, whose sum is σ = 105073734. Its totient is φ = 105073732.

The previous prime is 105073723. The next prime is 105073763. The reversal of 105073733 is 337370501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82482724 + 22591009 = 9082^2 + 4753^2 .

It is a cyclic number.

It is not a de Polignac number, because 105073733 - 2⁶ = 105073669 is a prime.

It is a super-2 number, since 2×105073733² = 22080978733110578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105073696 and 105073705.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105073723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52536866 + 52536867.

It is an arithmetic number, because the mean of its divisors is an integer number (52536867).

Almost surely, 2^105073733 is an apocalyptic number.

It is an amenable number.

105073733 is a deficient number, since it is larger than the sum of its proper divisors (1).

105073733 is an equidigital number, since it uses as much as digits as its factorization.

105073733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6615, while the sum is 29.

The square root of 105073733 is about 10250.5479365739. The cubic root of 105073733 is about 471.8798006792.

The spelling of 105073733 in words is "one hundred five million, seventy-three thousand, seven hundred thirty-three".