102000033200105 has 16 divisors (see below), whose sum is σ = 124538805019728. Its totient is φ = 80177026272000.

The previous prime is 102000033200077. The next prime is 102000033200161. The reversal of 102000033200105 is 501002330000201.

It can be written as a sum of positive squares in 8 ways, for example, as 29197240384 + 101970835959721 = 170872^2 + 10098061^2 .

It is not a de Polignac number, because 102000033200105 - 2²² = 102000029005801 is a prime.

It is a super-2 number, since 2×102000033200105² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177410306 + ... + 177984315.

It is an arithmetic number, because the mean of its divisors is an integer number (7783675313733).

Almost surely, 2^{102000033200105} is an apocalyptic number.

It is an amenable number.

102000033200105 is a deficient number, since it is larger than the sum of its proper divisors (22538771819623).

102000033200105 is an equidigital number, since it uses as much as digits as its factorization.

102000033200105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355395628.

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 102000033200105 its reverse (501002330000201), we get a palindrome (603002363200306).

The spelling of 102000033200105 in words is "one hundred two trillion, thirty-three million, two hundred thousand, one hundred five".