100400033 has 2 divisors, whose sum is σ = 100400034. Its totient is φ = 100400032.

The previous prime is 100400023. The next prime is 100400063. The reversal of 100400033 is 330004001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78712384 + 21687649 = 8872^2 + 4657^2 .

It is an emirp because it is prime and its reverse (330004001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100400033 - 2⁴ = 100400017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100399987 and 100400023.

It is not a weakly prime, because it can be changed into another prime (100400023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50200016 + 50200017.

It is an arithmetic number, because the mean of its divisors is an integer number (50200017).

Almost surely, 2^100400033 is an apocalyptic number.

It is an amenable number.

100400033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100400033 is an equidigital number, since it uses as much as digits as its factorization.

100400033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 100400033 is about 10019.9816866100. The cubic root of 100400033 is about 464.7769894517.

Adding to 100400033 its reverse (330004001), we get a palindrome (430404034).

The spelling of 100400033 in words is "one hundred million, four hundred thousand, thirty-three".