100240313 has 8 divisors (see below), whose sum is σ = 106457832. Its totient is φ = 94058496.

The previous prime is 100240291. The next prime is 100240337. The reversal of 100240313 is 313042001.

It can be written as a sum of positive squares in 4 ways, for example, as 300304 + 99940009 = 548^2 + 9997^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100240313 - 2¹⁶ = 100174777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100240913) 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 7 ways as a sum of consecutive naturals, for example, 3020 + ... + 14477.

It is an arithmetic number, because the mean of its divisors is an integer number (13307229).

Almost surely, 2^100240313 is an apocalyptic number.

It is an amenable number.

100240313 is a deficient number, since it is larger than the sum of its proper divisors (6217519).

100240313 is a wasteful number, since it uses less digits than its factorization.

100240313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17851.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 100240313 is about 10012.0084398686. The cubic root of 100240313 is about 464.5303973004.

Adding to 100240313 its reverse (313042001), we get a palindrome (413282314).

The spelling of 100240313 in words is "one hundred million, two hundred forty thousand, three hundred thirteen".