100123993 has 2 divisors, whose sum is σ = 100123994. Its totient is φ = 100123992.

The previous prime is 100123973. The next prime is 100124029. The reversal of 100123993 is 399321001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67371264 + 32752729 = 8208^2 + 5723^2 .

It is an emirp because it is prime and its reverse (399321001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100123993 - 2²⁵ = 66569561 is a prime.

It is a super-4 number, since 4×100123993⁴ (a number of 33 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (100123963) 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 as a sum of consecutive naturals, namely, 50061996 + 50061997.

It is an arithmetic number, because the mean of its divisors is an integer number (50061997).

Almost surely, 2^100123993 is an apocalyptic number.

It is an amenable number.

100123993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123993 is an equidigital number, since it uses as much as digits as its factorization.

100123993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 100123993 is about 10006.1977294075. The cubic root of 100123993 is about 464.3506456339.

Adding to 100123993 its reverse (399321001), we get a palindrome (499444994).

The spelling of 100123993 in words is "one hundred million, one hundred twenty-three thousand, nine hundred ninety-three".