105113232135 has 48 divisors (see below), whose sum is σ = 183679816320. Its totient is φ = 55604352960.

The previous prime is 105113232073. The next prime is 105113232149. The reversal of 105113232135 is 531232311501.

105113232135 is a `hidden beast` number, since 10 + 511 + 3 + 2 + 3 + 2 + 135 = 666.

It is not a de Polignac number, because 105113232135 - 2¹¹ = 105113230087 is a prime.

It is a super-2 number, since 2×105113232135² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105113232099 and 105113232108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17322372 + ... + 17328438.

It is an arithmetic number, because the mean of its divisors is an integer number (3826662840).

Almost surely, 2^105113232135 is an apocalyptic number.

105113232135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105113232135 is a deficient number, since it is larger than the sum of its proper divisors (78566584185).

105113232135 is a wasteful number, since it uses less digits than its factorization.

105113232135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9148 (or 9145 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 105113232135 its reverse (531232311501), we get a palindrome (636345543636).

The spelling of 105113232135 in words is "one hundred five billion, one hundred thirteen million, two hundred thirty-two thousand, one hundred thirty-five".