106307657 has 2 divisors, whose sum is σ = 106307658. Its totient is φ = 106307656.

The previous prime is 106307573. The next prime is 106307659. The reversal of 106307657 is 756703601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97990201 + 8317456 = 9899^2 + 2884^2 .

It is a cyclic number.

It is not a de Polignac number, because 106307657 - 2¹⁰ = 106306633 is a prime.

It is a super-2 number, since 2×106307657² = 22602635873659298, which contains 22 as substring.

Together with 106307659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106307659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53153828 + 53153829.

It is an arithmetic number, because the mean of its divisors is an integer number (53153829).

Almost surely, 2^106307657 is an apocalyptic number.

It is an amenable number.

106307657 is a deficient number, since it is larger than the sum of its proper divisors (1).

106307657 is an equidigital number, since it uses as much as digits as its factorization.

106307657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 106307657 is about 10310.5604600332. The cubic root of 106307657 is about 473.7197762689.

The spelling of 106307657 in words is "one hundred six million, three hundred seven thousand, six hundred fifty-seven".