107393 has 8 divisors (see below), whose sum is σ = 126336. Its totient is φ = 90000.

The previous prime is 107377. The next prime is 107441. The reversal of 107393 is 393701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107393 - 2⁴ = 107377 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107323) 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, 233 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (15792).

2¹⁰⁷³⁹³ is an apocalyptic number.

107393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

107393 is a deficient number, since it is larger than the sum of its proper divisors (18943).

107393 is a wasteful number, since it uses less digits than its factorization.

107393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775.

The product of its (nonzero) digits is 567, while the sum is 23.

The square root of 107393 is about 327.7087121210. The cubic root of 107393 is about 47.5326460711.

Adding to 107393 its sum of digits (23), we get a triangular number (107416 = T₄₆₃).

The spelling of 107393 in words is "one hundred seven thousand, three hundred ninety-three".