102000033005 has 16 divisors (see below), whose sum is σ = 132484557744. Its totient is φ = 74940741120.

The previous prime is 102000033001. The next prime is 102000033019. The reversal of 102000033005 is 500330000201.

It can be written as a sum of positive squares in 8 ways, for example, as 2202800356 + 99797232649 = 46934^2 + 315907^2 .

It is not a de Polignac number, because 102000033005 - 2² = 102000033001 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000033001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3970016 + ... + 3995625.

It is an arithmetic number, because the mean of its divisors is an integer number (8280284859).

Almost surely, 2^102000033005 is an apocalyptic number.

It is an amenable number.

102000033005 is a deficient number, since it is larger than the sum of its proper divisors (30484524739).

102000033005 is a wasteful number, since it uses less digits than its factorization.

102000033005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7965856.

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

Adding to 102000033005 its reverse (500330000201), we get a palindrome (602330033206).

The spelling of 102000033005 in words is "one hundred two billion, thirty-three thousand, five".