100003163 has 16 divisors (see below), whose sum is σ = 115123680. Its totient is φ = 86048256.

The previous prime is 100003157. The next prime is 100003181. The reversal of 100003163 is 361300001.

It is a cyclic number.

It is not a de Polignac number, because 100003163 - 2¹⁰ = 100002139 is a prime.

It is a super-3 number, since 3×100003163³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100003153) 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 in 15 ways as a sum of consecutive naturals, for example, 21533 + ... + 25761.

It is an arithmetic number, because the mean of its divisors is an integer number (7195230).

Almost surely, 2^100003163 is an apocalyptic number.

100003163 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100003163 is a deficient number, since it is larger than the sum of its proper divisors (15120517).

100003163 is a wasteful number, since it uses less digits than its factorization.

100003163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 100003163 is about 10000.1581487494. The cubic root of 100003163 is about 464.1637770915.

Adding to 100003163 its reverse (361300001), we get a palindrome (461303164).

The spelling of 100003163 in words is "one hundred million, three thousand, one hundred sixty-three".