13577010106 has 16 divisors (see below), whose sum is σ = 22636114848. Its totient is φ = 6054926800.

The previous prime is 13577010089. The next prime is 13577010107. The reversal of 13577010106 is 60101077531.

13577010106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13577010106² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13577010107) 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 7 ways as a sum of consecutive naturals, for example, 5820880 + ... + 5823211.

It is an arithmetic number, because the mean of its divisors is an integer number (1414757178).

Almost surely, 2^13577010106 is an apocalyptic number.

13577010106 is a deficient number, since it is larger than the sum of its proper divisors (9059104742).

13577010106 is a wasteful number, since it uses less digits than its factorization.

13577010106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11644157.

The product of its (nonzero) digits is 4410, while the sum is 31.

Adding to 13577010106 its reverse (60101077531), we get a palindrome (73678087637).

The spelling of 13577010106 in words is "thirteen billion, five hundred seventy-seven million, ten thousand, one hundred six".