108190000 has 100 divisors (see below), whose sum is σ = 271163200. Its totient is φ = 41760000.

The previous prime is 108189979. The next prime is 108190001. The reversal of 108190000 is 91801.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×108190000² = 23410152200000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 108190000.

It is not an unprimeable number, because it can be changed into a prime (108190001) 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 19 ways as a sum of consecutive naturals, for example, 309826 + ... + 310174.

It is an arithmetic number, because the mean of its divisors is an integer number (2711632).

Almost surely, 2^108190000 is an apocalyptic number.

108190000 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 108190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135581600).

108190000 is an abundant number, since it is smaller than the sum of its proper divisors (162973200).

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

108190000 is an equidigital number, since it uses as much as digits as its factorization.

108190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 108190000 is about 10401.4422076941. The cubic root of 108190000 is about 476.4994169837.

The spelling of 108190000 in words is "one hundred eight million, one hundred ninety thousand".