107006821 has 2 divisors, whose sum is σ = 107006822. Its totient is φ = 107006820.

The previous prime is 107006813. The next prime is 107006903. The reversal of 107006821 is 128600701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63776196 + 43230625 = 7986^2 + 6575^2 .

It is an emirp because it is prime and its reverse (128600701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107006821 - 2³ = 107006813 is a prime.

It is a super-2 number, since 2×107006821² = 22900919481052082, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107006321) 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 as a sum of consecutive naturals, namely, 53503410 + 53503411.

It is an arithmetic number, because the mean of its divisors is an integer number (53503411).

Almost surely, 2^107006821 is an apocalyptic number.

It is an amenable number.

107006821 is a deficient number, since it is larger than the sum of its proper divisors (1).

107006821 is an equidigital number, since it uses as much as digits as its factorization.

107006821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 107006821 is about 10344.4101330139. The cubic root of 107006821 is about 474.7560276195.

The spelling of 107006821 in words is "one hundred seven million, six thousand, eight hundred twenty-one".