2000100105 has 12 divisors (see below), whose sum is σ = 3466840260. Its totient is φ = 1066720032.

The previous prime is 2000100097. The next prime is 2000100131. The reversal of 2000100105 is 5010010002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1438836624 + 561263481 = 37932^2 + 23691^2 .

It is not a de Polignac number, because 2000100105 - 2³ = 2000100097 is a prime.

It is a super-2 number, since 2×2000100105² = 8000800860042022050, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 22223290 + ... + 22223379.

It is an arithmetic number, because the mean of its divisors is an integer number (288903355).

Almost surely, 2^2000100105 is an apocalyptic number.

It is an amenable number.

2000100105 is a deficient number, since it is larger than the sum of its proper divisors (1466740155).

2000100105 is a wasteful number, since it uses less digits than its factorization.

2000100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44446680 (or 44446677 counting only the distinct ones).

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

The square root of 2000100105 is about 44722.4787439158. The cubic root of 2000100105 is about 1259.9420702770.

Adding to 2000100105 its reverse (5010010002), we get a palindrome (7010110107).

The spelling of 2000100105 in words is "two billion, one hundred thousand, one hundred five".