348333106100 has 108 divisors (see below), whose sum is σ = 879542768160. Its totient is φ = 119394475200.

The previous prime is 348333106073. The next prime is 348333106103. The reversal of 348333106100 is 1601333843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348333106103) 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 35 ways as a sum of consecutive naturals, for example, 22135235 + ... + 22150965.

It is an arithmetic number, because the mean of its divisors is an integer number (8143914520).

Almost surely, 2^348333106100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348333106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439771384080).

348333106100 is an abundant number, since it is smaller than the sum of its proper divisors (531209662060).

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

348333106100 is a wasteful number, since it uses less digits than its factorization.

348333106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20278 (or 20264 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 348333106100 its reverse (1601333843), we get a palindrome (349934439943).

The spelling of 348333106100 in words is "three hundred forty-eight billion, three hundred thirty-three million, one hundred six thousand, one hundred".