102003005 has 32 divisors (see below), whose sum is σ = 139073760. Its totient is φ = 71285760.

The previous prime is 102002987. The next prime is 102003037. The reversal of 102003005 is 500300201.

It can be written as a sum of positive squares in 16 ways, for example, as 22686169 + 79316836 = 4763^2 + 8906^2 .

It is not a de Polignac number, because 102003005 - 2¹⁰ = 102001981 is a prime.

It is a super-2 number, since 2×102003005² = 20809226058060050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99395 + ... + 100415.

It is an arithmetic number, because the mean of its divisors is an integer number (4346055).

Almost surely, 2^102003005 is an apocalyptic number.

It is an amenable number.

102003005 is a deficient number, since it is larger than the sum of its proper divisors (37070755).

102003005 is a wasteful number, since it uses less digits than its factorization.

102003005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 102003005 is about 10099.6537069347. The cubic root of 102003005 is about 467.2374611394.

Adding to 102003005 its reverse (500300201), we get a palindrome (602303206).

The spelling of 102003005 in words is "one hundred two million, three thousand, five".