107744 has 48 divisors (see below), whose sum is σ = 268128. Its totient is φ = 41472.

The previous prime is 107741. The next prime is 107747. The reversal of 107744 is 447701.

107744 = T₁₁₇ + T₁₁₈ + ... + T₁₃₀.

It is an interprime number because it is at equal distance from previous prime (107741) and next prime (107747).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107744.

It is not an unprimeable number, because it can be changed into a prime (107741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2894 + ... + 2930.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

2¹⁰⁷⁷⁴⁴ is an apocalyptic number.

107744 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 107744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134064).

107744 is an abundant number, since it is smaller than the sum of its proper divisors (160384).

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

107744 is a wasteful number, since it uses less digits than its factorization.

107744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 107744 is about 328.2438118229. The cubic root of 107744 is about 47.5843745054.

The spelling of 107744 in words is "one hundred seven thousand, seven hundred forty-four", and thus it is an iban number.