100967 has 4 divisors (see below), whose sum is σ = 104256. Its totient is φ = 97680.

The previous prime is 100957. The next prime is 100981. The reversal of 100967 is 769001.

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: 769001 = 71 ⋅10831.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100907) 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, 1598 + ... + 1659.

It is an arithmetic number, because the mean of its divisors is an integer number (26064).

2¹⁰⁰⁹⁶⁷ is an apocalyptic number.

100967 is a deficient number, since it is larger than the sum of its proper divisors (3289).

100967 is an equidigital number, since it uses as much as digits as its factorization.

100967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288.

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 100967 is about 317.7530487659. The cubic root of 100967 is about 46.5650225350.

Adding to 100967 its reverse (769001), we get a palindrome (869968).

The spelling of 100967 in words is "one hundred thousand, nine hundred sixty-seven".