105253097 has 2 divisors, whose sum is σ = 105253098. Its totient is φ = 105253096.

The previous prime is 105253073. The next prime is 105253147. The reversal of 105253097 is 790352501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100320256 + 4932841 = 10016^2 + 2221^2 .

It is a cyclic number.

It is not a de Polignac number, because 105253097 - 2¹⁰ = 105252073 is a prime.

It is a super-3 number, since 3×105253097³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (105253067) 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, 52626548 + 52626549.

It is an arithmetic number, because the mean of its divisors is an integer number (52626549).

Almost surely, 2^105253097 is an apocalyptic number.

It is an amenable number.

105253097 is a deficient number, since it is larger than the sum of its proper divisors (1).

105253097 is an equidigital number, since it uses as much as digits as its factorization.

105253097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 105253097 is about 10259.2932017756. The cubic root of 105253097 is about 472.1481523461.

The spelling of 105253097 in words is "one hundred five million, two hundred fifty-three thousand, ninety-seven".