105289097 has 2 divisors, whose sum is σ = 105289098. Its totient is φ = 105289096.

The previous prime is 105289091. The next prime is 105289103. The reversal of 105289097 is 790982501.

It is a balanced prime because it is at equal distance from previous prime (105289091) and next prime (105289103).

It can be written as a sum of positive squares in only one way, i.e., 98883136 + 6405961 = 9944^2 + 2531^2 .

It is a cyclic number.

It is not a de Polignac number, because 105289097 - 2¹² = 105285001 is a prime.

It is a super-2 number, since 2×105289097² = 22171587894150818, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105289091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52644548 + 52644549.

It is an arithmetic number, because the mean of its divisors is an integer number (52644549).

Almost surely, 2^105289097 is an apocalyptic number.

It is an amenable number.

105289097 is a deficient number, since it is larger than the sum of its proper divisors (1).

105289097 is an equidigital number, since it uses as much as digits as its factorization.

105289097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 105289097 is about 10261.0475586073. The cubic root of 105289097 is about 472.2019762444.

The spelling of 105289097 in words is "one hundred five million, two hundred eighty-nine thousand, ninety-seven".