13182105 has 32 divisors (see below), whose sum is σ = 23178240. Its totient is φ = 6367680.

The previous prime is 13182077. The next prime is 13182109. The reversal of 13182105 is 50128131.

It is not a de Polignac number, because 13182105 - 2⁶ = 13182041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13182109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5550 + ... + 7560.

It is an arithmetic number, because the mean of its divisors is an integer number (724320).

Almost surely, 2^13182105 is an apocalyptic number.

13182105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13182105 is a deficient number, since it is larger than the sum of its proper divisors (9996135).

13182105 is a wasteful number, since it uses less digits than its factorization.

13182105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 13182105 is about 3630.7168713630. The cubic root of 13182105 is about 236.2263042778.

The spelling of 13182105 in words is "thirteen million, one hundred eighty-two thousand, one hundred five".