106657249 has 2 divisors, whose sum is σ = 106657250. Its totient is φ = 106657248.

The previous prime is 106657247. The next prime is 106657259. The reversal of 106657249 is 942756601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87235600 + 19421649 = 9340^2 + 4407^2 .

It is a cyclic number.

It is not a de Polignac number, because 106657249 - 2¹ = 106657247 is a prime.

It is a super-2 number, since 2×106657249² = 22751537528496002, which contains 22 as substring.

Together with 106657247, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (106657247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53328624 + 53328625.

It is an arithmetic number, because the mean of its divisors is an integer number (53328625).

Almost surely, 2^106657249 is an apocalyptic number.

It is an amenable number.

106657249 is a deficient number, since it is larger than the sum of its proper divisors (1).

106657249 is an equidigital number, since it uses as much as digits as its factorization.

106657249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 106657249 is about 10327.4996489954. The cubic root of 106657249 is about 474.2384828398.

The spelling of 106657249 in words is "one hundred six million, six hundred fifty-seven thousand, two hundred forty-nine".