109438000 has 80 divisors (see below), whose sum is σ = 302462784. Its totient is φ = 37516800.

The previous prime is 109437997. The next prime is 109438009. The reversal of 109438000 is 834901.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (109438009) 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 15 ways as a sum of consecutive naturals, for example, 10092 + ... + 17908.

Almost surely, 2^109438000 is an apocalyptic number.

109438000 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 109438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151231392).

109438000 is an abundant number, since it is smaller than the sum of its proper divisors (193024784).

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

109438000 is an equidigital number, since it uses as much as digits as its factorization.

109438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847 (or 7831 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 109438000 is about 10461.2618741718. The cubic root of 109438000 is about 478.3245987659.

The spelling of 109438000 in words is "one hundred nine million, four hundred thirty-eight thousand".