100040003 has 16 divisors (see below), whose sum is σ = 116825280. Its totient is φ = 83897856.

The previous prime is 100039981. The next prime is 100040011. The reversal of 100040003 is 300040001.

Added to its reverse (300040001) it gives a square (400080004 = 20002²).

It is a Cunningham number, because it is equal to 10002²-1.

It is not a de Polignac number, because 100040003 - 2¹⁸ = 99777859 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100040023) 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, 69293 + ... + 70721.

It is an arithmetic number, because the mean of its divisors is an integer number (7301580).

Almost surely, 2^100040003 is an apocalyptic number.

100040003 is a deficient number, since it is larger than the sum of its proper divisors (16785277).

100040003 is a wasteful number, since it uses less digits than its factorization.

100040003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646.

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 100040003 is about 10001.9999500100. Note that the first 4 decimals coincide. The cubic root of 100040003 is about 464.2207676029.

Adding to 100040003 its reverse (300040001), we get a palindrome (400080004).

The spelling of 100040003 in words is "one hundred million, forty thousand, three".