100105097 has 2 divisors, whose sum is σ = 100105098. Its totient is φ = 100105096.

The previous prime is 100105079. The next prime is 100105111. The reversal of 100105097 is 790501001.

Together with previous prime (100105079) 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., 89794576 + 10310521 = 9476^2 + 3211^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100105097 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100105007) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052548 + 50052549.

It is an arithmetic number, because the mean of its divisors is an integer number (50052549).

Almost surely, 2^100105097 is an apocalyptic number.

It is an amenable number.

100105097 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105097 is an equidigital number, since it uses as much as digits as its factorization.

100105097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 23.

The square root of 100105097 is about 10005.2534700526. The cubic root of 100105097 is about 464.3214321172.

Adding to 100105097 its reverse (790501001), we get a palindrome (890606098).

The spelling of 100105097 in words is "one hundred million, one hundred five thousand, ninety-seven".