109689840 has 120 divisors (see below), whose sum is σ = 396745440. Its totient is φ = 26998272.

The previous prime is 109689821. The next prime is 109689847. The reversal of 109689840 is 48986901.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109689847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3501 + ... + 15219.

It is an arithmetic number, because the mean of its divisors is an integer number (3306212).

Almost surely, 2^109689840 is an apocalyptic number.

109689840 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 109689840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198372720).

109689840 is an abundant number, since it is smaller than the sum of its proper divisors (287055600).

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

109689840 is a wasteful number, since it uses less digits than its factorization.

109689840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11751 (or 11742 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 109689840 is about 10473.2917461513. The cubic root of 109689840 is about 478.6912263926.

The spelling of 109689840 in words is "one hundred nine million, six hundred eighty-nine thousand, eight hundred forty".