100205993 has 2 divisors, whose sum is σ = 100205994. Its totient is φ = 100205992.

The previous prime is 100205969. The next prime is 100206023. The reversal of 100205993 is 399502001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51652969 + 48553024 = 7187^2 + 6968^2 .

It is a cyclic number.

It is not a de Polignac number, because 100205993 - 2⁶ = 100205929 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100205593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50102996 + 50102997.

It is an arithmetic number, because the mean of its divisors is an integer number (50102997).

Almost surely, 2^100205993 is an apocalyptic number.

It is an amenable number.

100205993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100205993 is an equidigital number, since it uses as much as digits as its factorization.

100205993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 100205993 is about 10010.2943513165. The cubic root of 100205993 is about 464.4773763730.

Adding to 100205993 its reverse (399502001), we get a palindrome (499707994).

The spelling of 100205993 in words is "one hundred million, two hundred five thousand, nine hundred ninety-three".