13500105 has 8 divisors (see below), whose sum is σ = 21600192. Its totient is φ = 7200048.

The previous prime is 13500077. The next prime is 13500119. The reversal of 13500105 is 50100531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13500105 - 2¹⁰ = 13499081 is a prime.

It is a super-2 number, since 2×13500105² = 364505670022050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 900007 = 13500105 / (1 + 3 + 5 + 0 + 0 + 1 + 0 + 5).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449989 + ... + 450018.

It is an arithmetic number, because the mean of its divisors is an integer number (2700024).

Almost surely, 2^13500105 is an apocalyptic number.

13500105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13500105 is a deficient number, since it is larger than the sum of its proper divisors (8100087).

13500105 is an equidigital number, since it uses as much as digits as its factorization.

13500105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900015.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 13500105 is about 3674.2489028371. The cubic root of 13500105 is about 238.1107751163.

Adding to 13500105 its reverse (50100531), we get a palindrome (63600636).

The spelling of 13500105 in words is "thirteen million, five hundred thousand, one hundred five".