100111813 has 8 divisors (see below), whose sum is σ = 101633400. Its totient is φ = 98601408.

The previous prime is 100111807. The next prime is 100111853. The reversal of 100111813 is 318111001.

It can be written as a sum of positive squares in 4 ways, for example, as 13118884 + 86992929 = 3622^2 + 9327^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111853) 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, 16203 + ... + 21511.

It is an arithmetic number, because the mean of its divisors is an integer number (12704175).

Almost surely, 2^100111813 is an apocalyptic number.

It is an amenable number.

100111813 is a deficient number, since it is larger than the sum of its proper divisors (1521587).

100111813 is a wasteful number, since it uses less digits than its factorization.

100111813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591.

The product of its (nonzero) digits is 24, while the sum is 16.

The square root of 100111813 is about 10005.5890881047. The cubic root of 100111813 is about 464.3318155811.

Adding to 100111813 its reverse (318111001), we get a palindrome (418222814).

The spelling of 100111813 in words is "one hundred million, one hundred eleven thousand, eight hundred thirteen".