106731273 has 32 divisors (see below), whose sum is σ = 162168192. Its totient is φ = 61862400.

The previous prime is 106731239. The next prime is 106731299. The reversal of 106731273 is 372137601.

It is not a de Polignac number, because 106731273 - 2²⁰ = 105682697 is a prime.

It is a super-2 number, since 2×106731273² = 22783129272401058, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106731273.

It is not an unprimeable number, because it can be changed into a prime (106731073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73765 + ... + 75197.

It is an arithmetic number, because the mean of its divisors is an integer number (5067756).

Almost surely, 2^106731273 is an apocalyptic number.

It is an amenable number.

106731273 is a deficient number, since it is larger than the sum of its proper divisors (55436919).

106731273 is a wasteful number, since it uses less digits than its factorization.

106731273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545.

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 106731273 is about 10331.0828570872. The cubic root of 106731273 is about 474.3481703716.

Adding to 106731273 its reverse (372137601), we get a palindrome (478868874).

The spelling of 106731273 in words is "one hundred six million, seven hundred thirty-one thousand, two hundred seventy-three".