108693000 has 192 divisors, whose sum is σ = 396068400. Its totient is φ = 26726400.

The previous prime is 108692993. The next prime is 108693001. The reversal of 108693000 is 396801.

It can be written as a sum of positive squares in 8 ways, for example, as 11985444 + 96707556 = 3462^2 + 9834^2 .

It is not an unprimeable number, because it can be changed into a prime (108693001) 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 47 ways as a sum of consecutive naturals, for example, 116536 + ... + 117464.

Almost surely, 2^108693000 is an apocalyptic number.

108693000 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 108693000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198034200).

108693000 is an abundant number, since it is smaller than the sum of its proper divisors (287375400).

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

108693000 is a wasteful number, since it uses less digits than its factorization.

108693000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 108693000 is about 10425.5935082853. The cubic root of 108693000 is about 477.2367270310.

The spelling of 108693000 in words is "one hundred eight million, six hundred ninety-three thousand".