13089105 has 12 divisors (see below), whose sum is σ = 22687860. Its totient is φ = 6980832.

The previous prime is 13089103. The next prime is 13089107. The reversal of 13089105 is 50198031.

It is an interprime number because it is at equal distance from previous prime (13089103) and next prime (13089107).

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 3651921 = 3072^2 + 1911^2 .

It is not a de Polignac number, because 13089105 - 2¹ = 13089103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13089101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145390 + ... + 145479.

It is an arithmetic number, because the mean of its divisors is an integer number (1890655).

Almost surely, 2^13089105 is an apocalyptic number.

13089105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13089105 is a deficient number, since it is larger than the sum of its proper divisors (9598755).

13089105 is a wasteful number, since it uses less digits than its factorization.

13089105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290880 (or 290877 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 13089105 is about 3617.8868141499. The cubic root of 13089105 is about 235.6694657010.

The spelling of 13089105 in words is "thirteen million, eighty-nine thousand, one hundred five".