100413007 has 2 divisors, whose sum is σ = 100413008. Its totient is φ = 100413006.

The previous prime is 100412989. The next prime is 100413017. The reversal of 100413007 is 700314001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100413007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100413017) 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, 50206503 + 50206504.

It is an arithmetic number, because the mean of its divisors is an integer number (50206504).

Almost surely, 2^100413007 is an apocalyptic number.

100413007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100413007 is an equidigital number, since it uses as much as digits as its factorization.

100413007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 100413007 is about 10020.6290720693. The cubic root of 100413007 is about 464.7970085585.

Adding to 100413007 its reverse (700314001), we get a palindrome (800727008).

The spelling of 100413007 in words is "one hundred million, four hundred thirteen thousand, seven".