100315305 has 48 divisors (see below), whose sum is σ = 183396096. Its totient is φ = 50624640.

The previous prime is 100315297. The next prime is 100315309. The reversal of 100315305 is 503513001.

It is a happy number.

100315305 is a `hidden beast` number, since 100 + 31 + 530 + 5 = 666.

It is not a de Polignac number, because 100315305 - 2³ = 100315297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100315309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106135 + ... + 107075.

It is an arithmetic number, because the mean of its divisors is an integer number (3820752).

Almost surely, 2^100315305 is an apocalyptic number.

100315305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100315305 is a deficient number, since it is larger than the sum of its proper divisors (83080791).

100315305 is a wasteful number, since it uses less digits than its factorization.

100315305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 100315305 is about 10015.7528423978. The cubic root of 100315305 is about 464.6462102533.

Adding to 100315305 its reverse (503513001), we get a palindrome (603828306).

The spelling of 100315305 in words is "one hundred million, three hundred fifteen thousand, three hundred five".