1007364101 has 2 divisors, whose sum is σ = 1007364102. Its totient is φ = 1007364100.

The previous prime is 1007364091. The next prime is 1007364131. The reversal of 1007364101 is 1014637001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 761815201 + 245548900 = 27601^2 + 15670^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007364101 - 2⁶ = 1007364037 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007364131) 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, 503682050 + 503682051.

It is an arithmetic number, because the mean of its divisors is an integer number (503682051).

Almost surely, 2^1007364101 is an apocalyptic number.

It is an amenable number.

1007364101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007364101 is an equidigital number, since it uses as much as digits as its factorization.

1007364101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 1007364101 is about 31738.9996849302. Note that the first 3 decimals coincide. The cubic root of 1007364101 is about 1002.4486993108.

The spelling of 1007364101 in words is "one billion, seven million, three hundred sixty-four thousand, one hundred one".