106314389 has 2 divisors, whose sum is σ = 106314390. Its totient is φ = 106314388.

The previous prime is 106314359. The next prime is 106314391. The reversal of 106314389 is 983413601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86583025 + 19731364 = 9305^2 + 4442^2 .

It is a cyclic number.

It is not a de Polignac number, because 106314389 - 2⁸ = 106314133 is a prime.

It is a super-2 number, since 2×106314389² = 22605498616886642, which contains 22 as substring.

Together with 106314391, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106314359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53157194 + 53157195.

It is an arithmetic number, because the mean of its divisors is an integer number (53157195).

Almost surely, 2^106314389 is an apocalyptic number.

It is an amenable number.

106314389 is a deficient number, since it is larger than the sum of its proper divisors (1).

106314389 is an equidigital number, since it uses as much as digits as its factorization.

106314389 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 106314389 is about 10310.8869162648. The cubic root of 106314389 is about 473.7297755932.

The spelling of 106314389 in words is "one hundred six million, three hundred fourteen thousand, three hundred eighty-nine".