105168192 has 112 divisors (see below), whose sum is σ = 296509440. Its totient is φ = 32804352.

The previous prime is 105168179. The next prime is 105168199. The reversal of 105168192 is 291861501.

It is a super-2 number, since 2×105168192² = 22120697217097728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105168199) 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 15 ways as a sum of consecutive naturals, for example, 463183 + ... + 463409.

Almost surely, 2^105168192 is an apocalyptic number.

105168192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148254720).

105168192 is an abundant number, since it is smaller than the sum of its proper divisors (191341248).

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

105168192 is a wasteful number, since it uses less digits than its factorization.

105168192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 105168192 is about 10255.1544113192. The cubic root of 105168192 is about 472.0211615524.

The spelling of 105168192 in words is "one hundred five million, one hundred sixty-eight thousand, one hundred ninety-two".