108168192 has 198 divisors, whose sum is σ = 346847774. Its totient is φ = 32440320.

The previous prime is 108168187. The next prime is 108168253. The reversal of 108168192 is 291861801.

It can be written as a sum of positive squares in only one way, i.e., 90326016 + 17842176 = 9504^2 + 4224^2 .

It is a tau number, because it is divible by the number of its divisors (198).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1115088 + ... + 1115184.

Almost surely, 2^108168192 is an apocalyptic number.

108168192 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 108168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173423887).

108168192 is an abundant number, since it is smaller than the sum of its proper divisors (238679582).

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

108168192 is a wasteful number, since it uses less digits than its factorization.

108168192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 108168192 is about 10400.3938386967. The cubic root of 108168192 is about 476.4673986284.

The spelling of 108168192 in words is "one hundred eight million, one hundred sixty-eight thousand, one hundred ninety-two".