107963 has 4 divisors (see below), whose sum is σ = 109080. Its totient is φ = 106848.

The previous prime is 107951. The next prime is 107971. The reversal of 107963 is 369701.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 369701 = 173 ⋅2137.

It is a cyclic number.

It is not a de Polignac number, because 107963 - 2¹² = 103867 is a prime.

It is a Duffinian number.

107963 is a modest number, since divided by 963 gives 107 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107963.

It is not an unprimeable number, because it can be changed into a prime (107903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 398 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (27270).

2¹⁰⁷⁹⁶³ is an apocalyptic number.

107963 is a deficient number, since it is larger than the sum of its proper divisors (1117).

107963 is a wasteful number, since it uses less digits than its factorization.

107963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116.

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 107963 is about 328.5772359735. The cubic root of 107963 is about 47.6165926195.

It can be divided in two parts, 107 and 963, that multiplied together give a square (103041 = 321²).

The spelling of 107963 in words is "one hundred seven thousand, nine hundred sixty-three".