Search a number
-
+
105096097 is a prime number
BaseRepresentation
bin1100100001110…
…10001110100001
321022202102202001
412100322032201
5203401033342
614232324001
72414205421
oct620721641
9238672661
10105096097
1154362287
122b243601
1318a09252
14dd5a481
15935e8b7
hex643a3a1

105096097 has 2 divisors, whose sum is σ = 105096098. Its totient is φ = 105096096.

The previous prime is 105096077. The next prime is 105096127. The reversal of 105096097 is 790690501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101425041 + 3671056 = 10071^2 + 1916^2 .

It is an emirp because it is prime and its reverse (790690501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105096097 - 211 = 105094049 is a prime.

It is a super-2 number, since 2×1050960972 = 22090379209266818, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105096067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52548048 + 52548049.

It is an arithmetic number, because the mean of its divisors is an integer number (52548049).

Almost surely, 2105096097 is an apocalyptic number.

It is an amenable number.

105096097 is a deficient number, since it is larger than the sum of its proper divisors (1).

105096097 is an equidigital number, since it uses as much as digits as its factorization.

105096097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 105096097 is about 10251.6387470492. The cubic root of 105096097 is about 471.9132767629.

The spelling of 105096097 in words is "one hundred five million, ninety-six thousand, ninety-seven".