100135305 has 32 divisors (see below), whose sum is σ = 178715520. Its totient is φ = 53196480.

The previous prime is 100135291. The next prime is 100135327. The reversal of 100135305 is 503531001.

It is a happy number.

It is not a de Polignac number, because 100135305 - 2⁶ = 100135241 is a prime.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 36895 + ... + 39515.

It is an arithmetic number, because the mean of its divisors is an integer number (5584860).

Almost surely, 2^100135305 is an apocalyptic number.

100135305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100135305 is a deficient number, since it is larger than the sum of its proper divisors (78580215).

100135305 is a wasteful number, since it uses less digits than its factorization.

100135305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2912 counting only the distinct ones).

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

The square root of 100135305 is about 10006.7629631165. The cubic root of 100135305 is about 464.3681324072.

Adding to 100135305 its reverse (503531001), we get a palindrome (603666306).

The spelling of 100135305 in words is "one hundred million, one hundred thirty-five thousand, three hundred five".