100503663 has 16 divisors (see below), whose sum is σ = 144902016. Its totient is φ = 61596000.

The previous prime is 100503653. The next prime is 100503679. The reversal of 100503663 is 366305001.

It is not a de Polignac number, because 100503663 - 2⁵ = 100503631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100503653) 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 in 15 ways as a sum of consecutive naturals, for example, 4656 + ... + 14922.

It is an arithmetic number, because the mean of its divisors is an integer number (9056376).

Almost surely, 2^100503663 is an apocalyptic number.

100503663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100503663 is a deficient number, since it is larger than the sum of its proper divisors (44398353).

100503663 is a wasteful number, since it uses less digits than its factorization.

100503663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 100503663 is about 10025.1515200520. The cubic root of 100503663 is about 464.9368442380.

Adding to 100503663 its reverse (366305001), we get a palindrome (466808664).

The spelling of 100503663 in words is "one hundred million, five hundred three thousand, six hundred sixty-three".