105733073 has 2 divisors, whose sum is σ = 105733074. Its totient is φ = 105733072.

The previous prime is 105733049. The next prime is 105733079. The reversal of 105733073 is 370337501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93566929 + 12166144 = 9673^2 + 3488^2 .

It is a cyclic number.

It is not a de Polignac number, because 105733073 - 2¹⁸ = 105470929 is a prime.

It is a super-2 number, since 2×105733073² = 22358965452046658, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105733079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52866536 + 52866537.

It is an arithmetic number, because the mean of its divisors is an integer number (52866537).

Almost surely, 2^105733073 is an apocalyptic number.

It is an amenable number.

105733073 is a deficient number, since it is larger than the sum of its proper divisors (1).

105733073 is an equidigital number, since it uses as much as digits as its factorization.

105733073 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 105733073 is about 10282.6588487609. The cubic root of 105733073 is about 472.8647620558.

The spelling of 105733073 in words is "one hundred five million, seven hundred thirty-three thousand, seventy-three".