100973 has 4 divisors (see below), whose sum is σ = 103740. Its totient is φ = 98208.

The previous prime is 100957. The next prime is 100981. The reversal of 100973 is 379001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 94249 + 6724 = 307^2 + 82^2 .

It is a cyclic number.

It is not a de Polignac number, because 100973 - 2⁴ = 100957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

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, 1328 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2¹⁰⁰⁹⁷³ is an apocalyptic number.

It is an amenable number.

100973 is a deficient number, since it is larger than the sum of its proper divisors (2767).

100973 is an equidigital number, since it uses as much as digits as its factorization.

100973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 100973 is about 317.7624899198. The cubic root of 100973 is about 46.5659448977.

Adding to 100973 its reverse (379001), we get a palindrome (479974).

The spelling of 100973 in words is "one hundred thousand, nine hundred seventy-three".