109268640 has 216 divisors, whose sum is σ = 404667900. Its totient is φ = 26836992.

The previous prime is 109268603. The next prime is 109268681. The reversal of 109268640 is 46862901.

109268640 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 6 + 8 + 640 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15023376 + 94245264 = 3876^2 + 9708^2 .

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 = 109268595 and 109268604.

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 35 ways as a sum of consecutive naturals, for example, 243136 + ... + 243584.

Almost surely, 2^109268640 is an apocalyptic number.

109268640 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 109268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202333950).

109268640 is an abundant number, since it is smaller than the sum of its proper divisors (295399260).

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

109268640 is a wasteful number, since it uses less digits than its factorization.

109268640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 109268640 is about 10453.1641142766. The cubic root of 109268640 is about 478.0777287624.

The spelling of 109268640 in words is "one hundred nine million, two hundred sixty-eight thousand, six hundred forty".