100003963 has 2 divisors, whose sum is σ = 100003964. Its totient is φ = 100003962.

The previous prime is 100003957. The next prime is 100004017. The reversal of 100003963 is 369300001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100003963 - 2¹³ = 99995771 is a prime.

It is not a weakly prime, because it can be changed into another prime (100003913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001981 + 50001982.

It is an arithmetic number, because the mean of its divisors is an integer number (50001982).

Almost surely, 2^100003963 is an apocalyptic number.

100003963 is a deficient number, since it is larger than the sum of its proper divisors (1).

100003963 is an equidigital number, since it uses as much as digits as its factorization.

100003963 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 100003963 is about 10000.1981480369. The cubic root of 100003963 is about 464.1650148191.

Adding to 100003963 its reverse (369300001), we get a palindrome (469303964).

The spelling of 100003963 in words is "one hundred million, three thousand, nine hundred sixty-three".