105135132110355 has 40 divisors (see below), whose sum is σ = 188501554733184. Its totient is φ = 56061033724800.

The previous prime is 105135132110353. The next prime is 105135132110401. The reversal of 105135132110355 is 553011231531501.

105135132110355 is a `hidden beast` number, since 1 + 0 + 5 + 13 + 513 + 21 + 103 + 5 + 5 = 666.

It is not a de Polignac number, because 105135132110355 - 2¹ = 105135132110353 is a prime.

It is a super-2 number, since 2×105135132110355² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105135132110353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23487651 + ... + 27603260.

Almost surely, 2^{105135132110355} is an apocalyptic number.

105135132110355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105135132110355 is a deficient number, since it is larger than the sum of its proper divisors (83366422622829).

105135132110355 is an equidigital number, since it uses as much as digits as its factorization.

105135132110355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51096009 (or 51096000 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

Adding to 105135132110355 its reverse (553011231531501), we get a palindrome (658146363641856).

The spelling of 105135132110355 in words is "one hundred five trillion, one hundred thirty-five billion, one hundred thirty-two million, one hundred ten thousand, three hundred fifty-five".