100605513 has 16 divisors (see below), whose sum is σ = 144648000. Its totient is φ = 61989120.

The previous prime is 100605499. The next prime is 100605517. The reversal of 100605513 is 315506001.

It is a happy number.

It is not a de Polignac number, because 100605513 - 2⁴ = 100605497 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100605513.

It is not an unprimeable number, because it can be changed into a prime (100605517) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19188 + ... + 23861.

It is an arithmetic number, because the mean of its divisors is an integer number (9040500).

Almost surely, 2^100605513 is an apocalyptic number.

It is an amenable number.

100605513 is a deficient number, since it is larger than the sum of its proper divisors (44042487).

100605513 is a wasteful number, since it uses less digits than its factorization.

100605513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43112.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 100605513 is about 10030.2299574835. The cubic root of 100605513 is about 465.0938462454.

The spelling of 100605513 in words is "one hundred million, six hundred five thousand, five hundred thirteen".