13752105 has 32 divisors (see below), whose sum is σ = 23514240. Its totient is φ = 6842880.

The previous prime is 13752103. The next prime is 13752113. The reversal of 13752105 is 50125731.

It is not a de Polignac number, because 13752105 - 2¹ = 13752103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13752103) 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 31 ways as a sum of consecutive naturals, for example, 20475 + ... + 21135.

It is an arithmetic number, because the mean of its divisors is an integer number (734820).

Almost surely, 2^13752105 is an apocalyptic number.

13752105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13752105 is a deficient number, since it is larger than the sum of its proper divisors (9762135).

13752105 is a wasteful number, since it uses less digits than its factorization.

13752105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 13752105 is about 3708.3830708275. The cubic root of 13752105 is about 239.5832176097.

Adding to 13752105 its reverse (50125731), we get a palindrome (63877836).

The spelling of 13752105 in words is "thirteen million, seven hundred fifty-two thousand, one hundred five".