13835106 has 24 divisors (see below), whose sum is σ = 30389580. Its totient is φ = 4548096.

The previous prime is 13835069. The next prime is 13835137. The reversal of 13835106 is 60153831.

13835106 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13286025 + 549081 = 3645^2 + 741^2 .

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 13835106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3951 + ... + 6578.

Almost surely, 2^13835106 is an apocalyptic number.

13835106 is an abundant number, since it is smaller than the sum of its proper divisors (16554474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13835106 is a wasteful number, since it uses less digits than its factorization.

13835106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10610 (or 10607 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13835106 is about 3719.5572317145. The cubic root of 13835106 is about 240.0642536296.

Adding to 13835106 its reverse (60153831), we get a palindrome (73988937).

The spelling of 13835106 in words is "thirteen million, eight hundred thirty-five thousand, one hundred six".