105600097 has 2 divisors, whose sum is σ = 105600098. Its totient is φ = 105600096.

The previous prime is 105600083. The next prime is 105600127. The reversal of 105600097 is 790006501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78570496 + 27029601 = 8864^2 + 5199^2 .

It is a cyclic number.

It is not a de Polignac number, because 105600097 - 2¹⁹ = 105075809 is a prime.

It is a super-2 number, since 2×105600097² = 22302760972818818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105600007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52800048 + 52800049.

It is an arithmetic number, because the mean of its divisors is an integer number (52800049).

Almost surely, 2^105600097 is an apocalyptic number.

It is an amenable number.

105600097 is a deficient number, since it is larger than the sum of its proper divisors (1).

105600097 is an equidigital number, since it uses as much as digits as its factorization.

105600097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 105600097 is about 10276.1907825809. The cubic root of 105600097 is about 472.6664449112. Note that the first 3 decimals are identical.

Adding to 105600097 its reverse (790006501), we get a palindrome (895606598).

The spelling of 105600097 in words is "one hundred five million, six hundred thousand, ninety-seven".