105165135168 has 56 divisors (see below), whose sum is σ = 279199226208. Its totient is φ = 34935384576.

The previous prime is 105165135137. The next prime is 105165135239. The reversal of 105165135168 is 861531561501.

It is a super-2 number, since 2×105165135168² (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 7 ways as a sum of consecutive naturals, for example, 878446 + ... + 990957.

It is an arithmetic number, because the mean of its divisors is an integer number (4985700468).

Almost surely, 2^105165135168 is an apocalyptic number.

It is an amenable number.

105165135168 is an abundant number, since it is smaller than the sum of its proper divisors (174034091040).

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

105165135168 is a wasteful number, since it uses less digits than its factorization.

105165135168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869711 (or 1869701 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 42.

Adding to 105165135168 its reverse (861531561501), we get a palindrome (966696696669).

The spelling of 105165135168 in words is "one hundred five billion, one hundred sixty-five million, one hundred thirty-five thousand, one hundred sixty-eight".