105232289 has 2 divisors, whose sum is σ = 105232290. Its totient is φ = 105232288.

The previous prime is 105232249. The next prime is 105232301. The reversal of 105232289 is 982232501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64272289 + 40960000 = 8017^2 + 6400^2 .

It is a cyclic number.

It is not a de Polignac number, because 105232289 - 2¹⁶ = 105166753 is a prime.

It is a super-2 number, since 2×105232289² = 22147669296359042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105232219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52616144 + 52616145.

It is an arithmetic number, because the mean of its divisors is an integer number (52616145).

Almost surely, 2^105232289 is an apocalyptic number.

It is an amenable number.

105232289 is a deficient number, since it is larger than the sum of its proper divisors (1).

105232289 is an equidigital number, since it uses as much as digits as its factorization.

105232289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 105232289 is about 10258.2790467017. The cubic root of 105232289 is about 472.1170365356.

The spelling of 105232289 in words is "one hundred five million, two hundred thirty-two thousand, two hundred eighty-nine".