168103040 has 128 divisors (see below), whose sum is σ = 464140800. Its totient is φ = 57028608.

The previous prime is 168103027. The next prime is 168103093. The reversal of 168103040 is 40301861.

168103040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 168102997 and 168103015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703241 + ... + 703479.

It is an arithmetic number, because the mean of its divisors is an integer number (3626100).

Almost surely, 2^168103040 is an apocalyptic number.

168103040 is a gapful number since it is divisible by the number (10) 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 168103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232070400).

168103040 is an abundant number, since it is smaller than the sum of its proper divisors (296037760).

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

168103040 is a wasteful number, since it uses less digits than its factorization.

168103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 168103040 is about 12965.4556418199. The cubic root of 168103040 is about 551.8976215649.

The spelling of 168103040 in words is "one hundred sixty-eight million, one hundred three thousand, forty".