1007106301 has 2 divisors, whose sum is σ = 1007106302. Its totient is φ = 1007106300.

The previous prime is 1007106259. The next prime is 1007106307. The reversal of 1007106301 is 1036017001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 719634276 + 287472025 = 26826^2 + 16955^2 .

It is an emirp because it is prime and its reverse (1036017001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1007106301 - 2²¹ = 1005009149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007106307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503553150 + 503553151.

It is an arithmetic number, because the mean of its divisors is an integer number (503553151).

Almost surely, 2^1007106301 is an apocalyptic number.

It is an amenable number.

1007106301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007106301 is an equidigital number, since it uses as much as digits as its factorization.

1007106301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 1007106301 is about 31734.9381754558. The cubic root of 1007106301 is about 1002.3631779906.

The spelling of 1007106301 in words is "one billion, seven million, one hundred six thousand, three hundred one".