105112324135 has 24 divisors (see below), whose sum is σ = 156095808480. Its totient is φ = 66532632192.

The previous prime is 105112324091. The next prime is 105112324151. The reversal of 105112324135 is 531423211501.

It is not a de Polignac number, because 105112324135 - 2⁷ = 105112324007 is a prime.

It is a super-2 number, since 2×105112324135² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8879320 + ... + 8891149.

It is an arithmetic number, because the mean of its divisors is an integer number (6503992020).

Almost surely, 2^105112324135 is an apocalyptic number.

105112324135 is a deficient number, since it is larger than the sum of its proper divisors (50983484345).

105112324135 is a wasteful number, since it uses less digits than its factorization.

105112324135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17770507 (or 17770494 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 105112324135 its reverse (531423211501), we get a palindrome (636535535636).

The spelling of 105112324135 in words is "one hundred five billion, one hundred twelve million, three hundred twenty-four thousand, one hundred thirty-five".