106667821 has 16 divisors (see below), whose sum is σ = 118331136. Its totient is φ = 95530176.

The previous prime is 106667801. The next prime is 106667831. The reversal of 106667821 is 128766601.

It is not a de Polignac number, because 106667821 - 2¹¹ = 106665773 is a prime.

It is a super-2 number, since 2×106667821² = 22756048073776082, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106667801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96156 + ... + 97258.

It is an arithmetic number, because the mean of its divisors is an integer number (7395696).

Almost surely, 2^106667821 is an apocalyptic number.

It is an amenable number.

106667821 is a deficient number, since it is larger than the sum of its proper divisors (11663315).

106667821 is a wasteful number, since it uses less digits than its factorization.

106667821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 106667821 is about 10328.0114736575. The cubic root of 106667821 is about 474.2541513594.

The spelling of 106667821 in words is "one hundred six million, six hundred sixty-seven thousand, eight hundred twenty-one".