109693440 has 300 divisors, whose sum is σ = 410711994. Its totient is φ = 27979776.

The previous prime is 109693439. The next prime is 109693447. The reversal of 109693440 is 44396901.

It can be written as a sum of positive squares in only one way, i.e., 98724096 + 10969344 = 9936^2 + 3312^2 .

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 = 109693395 and 109693404.

It is not an unprimeable number, because it can be changed into a prime (109693447) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4769269 + ... + 4769291.

Almost surely, 2^109693440 is an apocalyptic number.

109693440 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 109693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205355997).

109693440 is an abundant number, since it is smaller than the sum of its proper divisors (301018554).

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

109693440 is an frugal number, since it uses more digits than its factorization.

109693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 109693440 is about 10473.4636104777. The cubic root of 109693440 is about 478.6964631874.

The spelling of 109693440 in words is "one hundred nine million, six hundred ninety-three thousand, four hundred forty".