110399744 has 108 divisors (see below), whose sum is σ = 276473484. Its totient is φ = 43610112.

The previous prime is 110399743. The next prime is 110399759. The reversal of 110399744 is 447993011.

It can be written as a sum of positive squares in 2 ways, for example, as 72454144 + 37945600 = 8512^2 + 6160^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110399698 and 110399707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110399741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162734 + ... + 163410.

Almost surely, 2^110399744 is an apocalyptic number.

110399744 is a gapful number since it is divisible by the number (14) 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 110399744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138236742).

110399744 is an abundant number, since it is smaller than the sum of its proper divisors (166073740).

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

110399744 is an equidigital number, since it uses as much as digits as its factorization.

110399744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 110399744 is about 10507.1282470521. The cubic root of 110399744 is about 479.7216905160.

The spelling of 110399744 in words is "one hundred ten million, three hundred ninety-nine thousand, seven hundred forty-four".