100413601 has 2 divisors, whose sum is σ = 100413602. Its totient is φ = 100413600.

The previous prime is 100413587. The next prime is 100413623. The reversal of 100413601 is 106314001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99520576 + 893025 = 9976^2 + 945^2 .

It is an emirp because it is prime and its reverse (106314001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100413601 - 2¹⁷ = 100282529 is a prime.

It is not a weakly prime, because it can be changed into another prime (100413701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50206800 + 50206801.

It is an arithmetic number, because the mean of its divisors is an integer number (50206801).

Almost surely, 2^100413601 is an apocalyptic number.

It is an amenable number.

100413601 is a deficient number, since it is larger than the sum of its proper divisors (1).

100413601 is an equidigital number, since it uses as much as digits as its factorization.

100413601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 100413601 is about 10020.6587108832. The cubic root of 100413601 is about 464.7979250695.

Adding to 100413601 its reverse (106314001), we get a palindrome (206727602).

The spelling of 100413601 in words is "one hundred million, four hundred thirteen thousand, six hundred one".