100400393 has 2 divisors, whose sum is σ = 100400394. Its totient is φ = 100400392.

The previous prime is 100400381. The next prime is 100400437. The reversal of 100400393 is 393004001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89056969 + 11343424 = 9437^2 + 3368^2 .

It is a cyclic number.

It is not a de Polignac number, because 100400393 - 2⁶ = 100400329 is a prime.

It is not a weakly prime, because it can be changed into another prime (100400323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50200196 + 50200197.

It is an arithmetic number, because the mean of its divisors is an integer number (50200197).

Almost surely, 2^100400393 is an apocalyptic number.

It is an amenable number.

100400393 is a deficient number, since it is larger than the sum of its proper divisors (1).

100400393 is an equidigital number, since it uses as much as digits as its factorization.

100400393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 100400393 is about 10019.9996506986. Note that the first 3 decimals coincide. The cubic root of 100400393 is about 464.7775449612. Note that the first 3 decimals are identical.

Adding to 100400393 its reverse (393004001), we get a palindrome (493404394).

The spelling of 100400393 in words is "one hundred million, four hundred thousand, three hundred ninety-three".