100599813 has 40 divisors (see below), whose sum is σ = 159429600. Its totient is φ = 63300528.

The previous prime is 100599799. The next prime is 100599839. The reversal of 100599813 is 318995001.

It is a happy number.

It is not a de Polignac number, because 100599813 - 2¹⁴ = 100583429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100599853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 373843 + ... + 374111.

It is an arithmetic number, because the mean of its divisors is an integer number (3985740).

Almost surely, 2^100599813 is an apocalyptic number.

It is an amenable number.

100599813 is a deficient number, since it is larger than the sum of its proper divisors (58829787).

100599813 is an frugal number, since it uses more digits than its factorization.

100599813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 100599813 is about 10029.9458124159. The cubic root of 100599813 is about 465.0850624823.

The spelling of 100599813 in words is "one hundred million, five hundred ninety-nine thousand, eight hundred thirteen".