109578240 has 288 divisors, whose sum is σ = 402456600. Its totient is φ = 27525120.

The previous prime is 109578239. The next prime is 109578253. The reversal of 109578240 is 42875901.

It can be written as a sum of positive squares in 4 ways, for example, as 60466176 + 49112064 = 7776^2 + 7008^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109578195 and 109578204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2672620 + ... + 2672660.

Almost surely, 2^109578240 is an apocalyptic number.

109578240 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 109578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201228300).

109578240 is an abundant number, since it is smaller than the sum of its proper divisors (292878360).

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

109578240 is a wasteful number, since it uses less digits than its factorization.

109578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 109578240 is about 10467.9625524741. The cubic root of 109578240 is about 478.5288288891.

The spelling of 109578240 in words is "one hundred nine million, five hundred seventy-eight thousand, two hundred forty".