105733097 has 2 divisors, whose sum is σ = 105733098. Its totient is φ = 105733096.

The previous prime is 105733079. The next prime is 105733109. The reversal of 105733097 is 790337501.

Together with previous prime (105733079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103713856 + 2019241 = 10184^2 + 1421^2 .

It is a cyclic number.

It is not a de Polignac number, because 105733097 - 2¹⁰ = 105732073 is a prime.

It is a super-2 number, since 2×105733097² = 22358975602422818, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105733027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52866548 + 52866549.

It is an arithmetic number, because the mean of its divisors is an integer number (52866549).

Almost surely, 2^105733097 is an apocalyptic number.

It is an amenable number.

105733097 is a deficient number, since it is larger than the sum of its proper divisors (1).

105733097 is an equidigital number, since it uses as much as digits as its factorization.

105733097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19845, while the sum is 35.

The square root of 105733097 is about 10282.6600157741. The cubic root of 105733097 is about 472.8647978338.

The spelling of 105733097 in words is "one hundred five million, seven hundred thirty-three thousand, ninety-seven".