100312007 has 2 divisors, whose sum is σ = 100312008. Its totient is φ = 100312006.

The previous prime is 100311997. The next prime is 100312033. The reversal of 100312007 is 700213001.

It is a weak prime.

It is an emirp because it is prime and its reverse (700213001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100312007 - 2¹⁰ = 100310983 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100311982 and 100312000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100312307) 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, 50156003 + 50156004.

It is an arithmetic number, because the mean of its divisors is an integer number (50156004).

Almost surely, 2^100312007 is an apocalyptic number.

100312007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100312007 is an equidigital number, since it uses as much as digits as its factorization.

100312007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 100312007 is about 10015.5882004004. The cubic root of 100312007 is about 464.6411182420.

Adding to 100312007 its reverse (700213001), we get a palindrome (800525008).

The spelling of 100312007 in words is "one hundred million, three hundred twelve thousand, seven".