100305513 has 32 divisors (see below), whose sum is σ = 185272320. Its totient is φ = 52105680.

The previous prime is 100305497. The next prime is 100305523. The reversal of 100305513 is 315503001.

It is a happy number.

It is not a de Polignac number, because 100305513 - 2⁴ = 100305497 is a prime.

It is a super-2 number, since 2×100305513² = 20122391876386338, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100305523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22045 + ... + 26202.

It is an arithmetic number, because the mean of its divisors is an integer number (5789760).

Almost surely, 2^100305513 is an apocalyptic number.

It is an amenable number.

100305513 is a deficient number, since it is larger than the sum of its proper divisors (84966807).

100305513 is a wasteful number, since it uses less digits than its factorization.

100305513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48274 (or 48268 counting only the distinct ones).

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

The square root of 100305513 is about 10015.2640005144. The cubic root of 100305513 is about 464.6310913781.

Adding to 100305513 its reverse (315503001), we get a palindrome (415808514).

The spelling of 100305513 in words is "one hundred million, three hundred five thousand, five hundred thirteen".