107753 has 4 divisors (see below), whose sum is σ = 108420. Its totient is φ = 107088.

The previous prime is 107747. The next prime is 107761. The reversal of 107753 is 357701.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 357701 = 107 ⋅3343.

It can be written as a sum of positive squares in 2 ways, for example, as 21904 + 85849 = 148^2 + 293^2 .

It is a cyclic number.

It is not a de Polignac number, because 107753 - 2¹² = 103657 is a prime.

It is a super-2 number, since 2×107753² = 23221418018, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107713) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (27105).

2¹⁰⁷⁷⁵³ is an apocalyptic number.

It is an amenable number.

107753 is a deficient number, since it is larger than the sum of its proper divisors (667).

107753 is an equidigital number, since it uses as much as digits as its factorization.

107753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666.

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 107753 is about 328.2575208582. The cubic root of 107753 is about 47.5856993973.

The spelling of 107753 in words is "one hundred seven thousand, seven hundred fifty-three".