34305553422100 has 18 divisors (see below), whose sum is σ = 74443050926174. Its totient is φ = 13722221368800.

The previous prime is 34305553422083. The next prime is 34305553422137. The reversal of 34305553422100 is 122435550343.

It can be written as a sum of positive squares in 3 ways, for example, as 5786151215364 + 28519402206736 = 2405442^2 + 5340356^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34305553422100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 171527767011 + ... + 171527767210.

Almost surely, 2^{34305553422100} is an apocalyptic number.

It is an amenable number.

34305553422100 is an abundant number, since it is smaller than the sum of its proper divisors (40137497504074).

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

34305553422100 is a wasteful number, since it uses less digits than its factorization.

34305553422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343055534235 (or 343055534228 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 37.

Adding to 34305553422100 its reverse (122435550343), we get a palindrome (34427988972443).

The spelling of 34305553422100 in words is "thirty-four trillion, three hundred five billion, five hundred fifty-three million, four hundred twenty-two thousand, one hundred".