108190368 has 288 divisors, whose sum is σ = 376451712. Its totient is φ = 29030400.

The previous prime is 108190361. The next prime is 108190373. The reversal of 108190368 is 863091801.

108190368 is a `hidden beast` number, since 108 + 190 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (108190361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1523773 + ... + 1523843.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^108190368 is an apocalyptic number.

108190368 is a gapful number since it is divisible by the number (18) 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 108190368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

108190368 is an abundant number, since it is smaller than the sum of its proper divisors (268261344).

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

108190368 is a wasteful number, since it uses less digits than its factorization.

108190368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 108190368 is about 10401.4598975336. The cubic root of 108190368 is about 476.4999572418.

The spelling of 108190368 in words is "one hundred eight million, one hundred ninety thousand, three hundred sixty-eight".