13520100105 has 12 divisors (see below), whose sum is σ = 23434840260. Its totient is φ = 7210720032.

The previous prime is 13520100089. The next prime is 13520100109. The reversal of 13520100105 is 50100102531.

13520100105 is digitally balanced in base 2, because in such base 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 2449062144 + 11071037961 = 49488^2 + 105219^2 .

It is not a de Polignac number, because 13520100105 - 2⁴ = 13520100089 is a prime.

It is a super-2 number, since 2×13520100105² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13520100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150223290 + ... + 150223379.

It is an arithmetic number, because the mean of its divisors is an integer number (1952903355).

Almost surely, 2^13520100105 is an apocalyptic number.

13520100105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13520100105 is a deficient number, since it is larger than the sum of its proper divisors (9914740155).

13520100105 is a wasteful number, since it uses less digits than its factorization.

13520100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300446680 (or 300446677 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 13520100105 its reverse (50100102531), we get a palindrome (63620202636).

The spelling of 13520100105 in words is "thirteen billion, five hundred twenty million, one hundred thousand, one hundred five".