1000102005 has 96 divisors (see below), whose sum is σ = 2135393280. Its totient is φ = 442350720.

The previous prime is 1000102003. The next prime is 1000102007. The reversal of 1000102005 is 5002010001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000102003) and next prime (1000102007).

It is not a de Polignac number, because 1000102005 - 2¹ = 1000102003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000102003) 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 95 ways as a sum of consecutive naturals, for example, 202627 + ... + 207503.

It is an arithmetic number, because the mean of its divisors is an integer number (22243680).

Almost surely, 2^1000102005 is an apocalyptic number.

1000102005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000102005 is an abundant number, since it is smaller than the sum of its proper divisors (1135291275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000102005 is a wasteful number, since it uses less digits than its factorization.

1000102005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4936 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 1000102005 is about 31624.3894012201. The cubic root of 1000102005 is about 1000.0340005106.

Adding to 1000102005 its reverse (5002010001), we get a palindrome (6002112006).

The spelling of 1000102005 in words is "one billion, one hundred two thousand, five".