100006002 has 40 divisors (see below), whose sum is σ = 237275676. Its totient is φ = 31373568.

The previous prime is 100005991. The next prime is 100006033. The reversal of 100006002 is 200600001.

It can be written as a sum of positive squares in 2 ways, for example, as 99620361 + 385641 = 9981^2 + 621^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 15403 + ... + 20910.

Almost surely, 2^100006002 is an apocalyptic number.

100006002 is an abundant number, since it is smaller than the sum of its proper divisors (137269674).

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

100006002 is a wasteful number, since it uses less digits than its factorization.

100006002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36344 (or 36335 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100006002 is about 10000.3000954971. The cubic root of 100006002 is about 464.1681694476.

Adding to 100006002 its reverse (200600001), we get a palindrome (300606003).

The spelling of 100006002 in words is "one hundred million, six thousand, two".