106193201 has 2 divisors, whose sum is σ = 106193202. Its totient is φ = 106193200.

The previous prime is 106193183. The next prime is 106193233. The reversal of 106193201 is 102391601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55056400 + 51136801 = 7420^2 + 7151^2 .

It is a cyclic number.

It is not a de Polignac number, because 106193201 - 2¹⁴ = 106176817 is a prime.

It is a super-2 number, since 2×106193201² = 22553991877252802, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106193281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53096600 + 53096601.

It is an arithmetic number, because the mean of its divisors is an integer number (53096601).

Almost surely, 2^106193201 is an apocalyptic number.

It is an amenable number.

106193201 is a deficient number, since it is larger than the sum of its proper divisors (1).

106193201 is an equidigital number, since it uses as much as digits as its factorization.

106193201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 106193201 is about 10305.0085395404. The cubic root of 106193201 is about 473.5497052927.

The spelling of 106193201 in words is "one hundred six million, one hundred ninety-three thousand, two hundred one".