107745 has 16 divisors (see below), whose sum is σ = 188352. Its totient is φ = 52160.

The previous prime is 107741. The next prime is 107747. The reversal of 107745 is 547701.

It is not a de Polignac number, because 107745 - 2² = 107741 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

107745 is a lucky number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (11772).

2¹⁰⁷⁷⁴⁵ is an apocalyptic number.

107745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107745 is a deficient number, since it is larger than the sum of its proper divisors (80607).

107745 is a wasteful number, since it uses less digits than its factorization.

107745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672.

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 107745 is about 328.2453350773. The cubic root of 107745 is about 47.5845217193.

The spelling of 107745 in words is "one hundred seven thousand, seven hundred forty-five".