106066821 has 24 divisors (see below), whose sum is σ = 164980800. Its totient is φ = 60436992.

The previous prime is 106066799. The next prime is 106066847. The reversal of 106066821 is 128660601.

It is not a de Polignac number, because 106066821 - 2⁵ = 106066789 is a prime.

It is a super-2 number, since 2×106066821² = 22500341034092082, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106066321) 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 23 ways as a sum of consecutive naturals, for example, 65200 + ... + 66806.

It is an arithmetic number, because the mean of its divisors is an integer number (6874200).

Almost surely, 2^106066821 is an apocalyptic number.

It is an amenable number.

106066821 is a deficient number, since it is larger than the sum of its proper divisors (58913979).

106066821 is a wasteful number, since it uses less digits than its factorization.

106066821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 106066821 is about 10298.8747443592. The cubic root of 106066821 is about 473.3617743386.

The spelling of 106066821 in words is "one hundred six million, sixty-six thousand, eight hundred twenty-one".