34130410100 has 18 divisors (see below), whose sum is σ = 74062990134. Its totient is φ = 13652164000.

The previous prime is 34130410073. The next prime is 34130410103. The reversal of 34130410100 is 101403143.

It can be written as a sum of positive squares in 3 ways, for example, as 657512164 + 33472897936 = 25642^2 + 182956^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130410103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 170651951 + ... + 170652150.

It is an arithmetic number, because the mean of its divisors is an integer number (4114610563).

Almost surely, 2^34130410100 is an apocalyptic number.

It is an amenable number.

34130410100 is an abundant number, since it is smaller than the sum of its proper divisors (39932580034).

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

34130410100 is a wasteful number, since it uses less digits than its factorization.

34130410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341304115 (or 341304108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 34130410100 its reverse (101403143), we get a palindrome (34231813243).

The spelling of 34130410100 in words is "thirty-four billion, one hundred thirty million, four hundred ten thousand, one hundred".