109005440 has 64 divisors (see below), whose sum is σ = 262309320. Its totient is φ = 43315200.

The previous prime is 109005439. The next prime is 109005443. The reversal of 109005440 is 44500901.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59105344 + 49900096 = 7688^2 + 7064^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (109005443) 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, 115370 + ... + 116310.

Almost surely, 2^109005440 is an apocalyptic number.

109005440 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 109005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131154660).

109005440 is an abundant number, since it is smaller than the sum of its proper divisors (153303880).

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

109005440 is an equidigital number, since it uses as much as digits as its factorization.

109005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 109005440 is about 10440.5670344096. The cubic root of 109005440 is about 477.6935647901.

The spelling of 109005440 in words is "one hundred nine million, five thousand, four hundred forty".