109868000 has 144 divisors (see below), whose sum is σ = 298024272. Its totient is φ = 39776000.

The previous prime is 109867951. The next prime is 109868009. The reversal of 109868000 is 868901.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109868009) 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 23 ways as a sum of consecutive naturals, for example, 483887 + ... + 484113.

It is an arithmetic number, because the mean of its divisors is an integer number (2069613).

Almost surely, 2^109868000 is an apocalyptic number.

109868000 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 109868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149012136).

109868000 is an abundant number, since it is smaller than the sum of its proper divisors (188156272).

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

109868000 is a wasteful number, since it uses less digits than its factorization.

109868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 109868000 is about 10481.7937396230. The cubic root of 109868000 is about 478.9502521981.

The spelling of 109868000 in words is "one hundred nine million, eight hundred sixty-eight thousand".