105270989 has 2 divisors, whose sum is σ = 105270990. Its totient is φ = 105270988.

The previous prime is 105270973. The next prime is 105271007. The reversal of 105270989 is 989072501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86174089 + 19096900 = 9283^2 + 4370^2 .

It is a cyclic number.

It is not a de Polignac number, because 105270989 - 2⁴ = 105270973 is a prime.

It is a super-3 number, since 3×105270989³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105270959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52635494 + 52635495.

It is an arithmetic number, because the mean of its divisors is an integer number (52635495).

Almost surely, 2^105270989 is an apocalyptic number.

It is an amenable number.

105270989 is a deficient number, since it is larger than the sum of its proper divisors (1).

105270989 is an equidigital number, since it uses as much as digits as its factorization.

105270989 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 105270989 is about 10260.1651546162. The cubic root of 105270989 is about 472.1749043573.

The spelling of 105270989 in words is "one hundred five million, two hundred seventy thousand, nine hundred eighty-nine".