106421167 has 2 divisors, whose sum is σ = 106421168. Its totient is φ = 106421166.

The previous prime is 106421143. The next prime is 106421177. The reversal of 106421167 is 761124601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106421167 - 2²³ = 98032559 is a prime.

It is a super-2 number, since 2×106421167² = 22650929571283778, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106421177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53210583 + 53210584.

It is an arithmetic number, because the mean of its divisors is an integer number (53210584).

Almost surely, 2^106421167 is an apocalyptic number.

106421167 is a deficient number, since it is larger than the sum of its proper divisors (1).

106421167 is an equidigital number, since it uses as much as digits as its factorization.

106421167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 106421167 is about 10316.0635418749. The cubic root of 106421167 is about 473.8883210578. Note that the first 3 decimals are identical.

Adding to 106421167 its reverse (761124601), we get a palindrome (867545768).

The spelling of 106421167 in words is "one hundred six million, four hundred twenty-one thousand, one hundred sixty-seven".