2005100330 has 16 divisors (see below), whose sum is σ = 3609926784. Its totient is φ = 801874320.

The previous prime is 2005100329. The next prime is 2005100333. The reversal of 2005100330 is 330015002.

It is a super-2 number, since 2×2005100330² = 8040854666732217800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2005100333) 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 7 ways as a sum of consecutive naturals, for example, 37979 + ... + 73841.

It is an arithmetic number, because the mean of its divisors is an integer number (225620424).

Almost surely, 2^2005100330 is an apocalyptic number.

2005100330 is a deficient number, since it is larger than the sum of its proper divisors (1604826454).

2005100330 is a wasteful number, since it uses less digits than its factorization.

2005100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41461.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 2005100330 is about 44778.3466644315. The cubic root of 2005100330 is about 1260.9911429598.

Adding to 2005100330 its reverse (330015002), we get a palindrome (2335115332).

The spelling of 2005100330 in words is "two billion, five million, one hundred thousand, three hundred thirty".