100963 has 4 divisors (see below), whose sum is σ = 106920. Its totient is φ = 95008.

The previous prime is 100957. The next prime is 100981. The reversal of 100963 is 369001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 369001 = 37 ⋅9973.

It is a cyclic number.

It is not a de Polignac number, because 100963 - 2⁵ = 100931 is a prime.

It is a Duffinian number.

100963 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 100963.

It is not an unprimeable number, because it can be changed into a prime (100913) 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, 2953 + ... + 2986.

It is an arithmetic number, because the mean of its divisors is an integer number (26730).

2¹⁰⁰⁹⁶³ is an apocalyptic number.

100963 is a deficient number, since it is larger than the sum of its proper divisors (5957).

100963 is an equidigital number, since it uses as much as digits as its factorization.

100963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5956.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 100963 is about 317.7467545074. The cubic root of 100963 is about 46.5644076062.

Adding to 100963 its reverse (369001), we get a palindrome (469964).

The spelling of 100963 in words is "one hundred thousand, nine hundred sixty-three".