100414305 has 12 divisors (see below), whose sum is σ = 174051540. Its totient is φ = 53554272.

The previous prime is 100414271. The next prime is 100414309. The reversal of 100414305 is 503414001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14814801 + 85599504 = 3849^2 + 9252^2 .

It is not a de Polignac number, because 100414305 - 2⁶ = 100414241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100414309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1115670 + ... + 1115759.

It is an arithmetic number, because the mean of its divisors is an integer number (14504295).

Almost surely, 2^100414305 is an apocalyptic number.

100414305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100414305 is a deficient number, since it is larger than the sum of its proper divisors (73637235).

100414305 is a wasteful number, since it uses less digits than its factorization.

100414305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231440 (or 2231437 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100414305 is about 10020.6938382529. The cubic root of 100414305 is about 464.7990113001.

Adding to 100414305 its reverse (503414001), we get a palindrome (603828306).

The spelling of 100414305 in words is "one hundred million, four hundred fourteen thousand, three hundred five".