109507840 has 72 divisors (see below), whose sum is σ = 282525768. Its totient is φ = 40427520.

The previous prime is 109507823. The next prime is 109507873. The reversal of 109507840 is 48705901.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12544 + 109495296 = 112^2 + 10464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 109507796 and 109507805.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13350 + ... + 19930.

It is an arithmetic number, because the mean of its divisors is an integer number (3923969).

Almost surely, 2^109507840 is an apocalyptic number.

109507840 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 109507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141262884).

109507840 is an abundant number, since it is smaller than the sum of its proper divisors (173017928).

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

109507840 is an equidigital number, since it uses as much as digits as its factorization.

109507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 109507840 is about 10464.5993712134. The cubic root of 109507840 is about 478.4263278613.

The spelling of 109507840 in words is "one hundred nine million, five hundred seven thousand, eight hundred forty".