109591040 has 160 divisors (see below), whose sum is σ = 293887440. Its totient is φ = 38928384.

The previous prime is 109591039. The next prime is 109591043. The reversal of 109591040 is 40195901.

It can be written as a sum of positive squares in 8 ways, for example, as 32993536 + 76597504 = 5744^2 + 8752^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 109590994 and 109591012.

It is not an unprimeable number, because it can be changed into a prime (109591043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1231316 + ... + 1231404.

Almost surely, 2^109591040 is an apocalyptic number.

109591040 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 109591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146943720).

109591040 is an abundant number, since it is smaller than the sum of its proper divisors (184296400).

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

109591040 is an equidigital number, since it uses as much as digits as its factorization.

109591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 109591040 is about 10468.5739238924. The cubic root of 109591040 is about 478.5474607225.

The spelling of 109591040 in words is "one hundred nine million, five hundred ninety-one thousand, forty".