109024000 has 72 divisors (see below), whose sum is σ = 271672128. Its totient is φ = 43596800.

The previous prime is 109023991. The next prime is 109024007. The reversal of 109024000 is 420901.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (109024007) 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 7 ways as a sum of consecutive naturals, for example, 30297 + ... + 33703.

It is an arithmetic number, because the mean of its divisors is an integer number (3773224).

Almost surely, 2^109024000 is an apocalyptic number.

109024000 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 109024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135836064).

109024000 is an abundant number, since it is smaller than the sum of its proper divisors (162648128).

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

109024000 is an frugal number, since it uses more digits than its factorization.

109024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 109024000 is about 10441.4558371905. The cubic root of 109024000 is about 477.7206750255.

Adding to 109024000 its reverse (420901), we get a palindrome (109444901).

The spelling of 109024000 in words is "one hundred nine million, twenty-four thousand".