105513135 has 64 divisors (see below), whose sum is σ = 220050432. Its totient is φ = 41895936.

The previous prime is 105513127. The next prime is 105513139. The reversal of 105513135 is 531315501.

It is not a de Polignac number, because 105513135 - 2³ = 105513127 is a prime.

It is a super-2 number, since 2×105513135² = 22266043315056450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105513139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20932 + ... + 25478.

It is an arithmetic number, because the mean of its divisors is an integer number (3438288).

Almost surely, 2^105513135 is an apocalyptic number.

105513135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105513135 is an abundant number, since it is smaller than the sum of its proper divisors (114537297).

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

105513135 is a wasteful number, since it uses less digits than its factorization.

105513135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592.

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 105513135 is about 10271.9586739823. The cubic root of 105513135 is about 472.5366618623.

Adding to 105513135 its reverse (531315501), we get a palindrome (636828636).

The spelling of 105513135 in words is "one hundred five million, five hundred thirteen thousand, one hundred thirty-five".