106368953 has 2 divisors, whose sum is σ = 106368954. Its totient is φ = 106368952.

The previous prime is 106368947. The next prime is 106368961. The reversal of 106368953 is 359863601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74874409 + 31494544 = 8653^2 + 5612^2 .

It is a cyclic number.

It is not a de Polignac number, because 106368953 - 2⁸ = 106368697 is a prime.

It is a super-2 number, since 2×106368953² = 22628708324632418, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106368953.

It is not a weakly prime, because it can be changed into another prime (106368253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53184476 + 53184477.

It is an arithmetic number, because the mean of its divisors is an integer number (53184477).

Almost surely, 2^106368953 is an apocalyptic number.

It is an amenable number.

106368953 is a deficient number, since it is larger than the sum of its proper divisors (1).

106368953 is an equidigital number, since it uses as much as digits as its factorization.

106368953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 106368953 is about 10313.5325180076. The cubic root of 106368953 is about 473.8108062385.

The spelling of 106368953 in words is "one hundred six million, three hundred sixty-eight thousand, nine hundred fifty-three".