34443243300100 has 36 divisors (see below), whose sum is σ = 79138416668724. Its totient is φ = 12966868065280.

The previous prime is 34443243300097. The next prime is 34443243300139. The reversal of 34443243300100 is 100334234443.

It can be written as a sum of positive squares in 6 ways, for example, as 753507330304 + 33689735969796 = 868048^2 + 5804286^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10130363977 + ... + 10130367376.

It is an arithmetic number, because the mean of its divisors is an integer number (2198289351909).

Almost surely, 2^{34443243300100} is an apocalyptic number.

It is an amenable number.

34443243300100 is an abundant number, since it is smaller than the sum of its proper divisors (44695173368624).

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

34443243300100 is a wasteful number, since it uses less digits than its factorization.

34443243300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20260731384 (or 20260731377 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 34443243300100 its reverse (100334234443), we get a palindrome (34543577534543).

The spelling of 34443243300100 in words is "thirty-four trillion, four hundred forty-three billion, two hundred forty-three million, three hundred thousand, one hundred".