34071010100 has 18 divisors (see below), whose sum is σ = 73934092134. Its totient is φ = 13628404000.

The previous prime is 34071010087. The next prime is 34071010147. The reversal of 34071010100 is 101017043.

It can be written as a sum of positive squares in 3 ways, for example, as 1305665956 + 32765344144 = 36134^2 + 181012^2 .

It is a super-3 number, since 3×34071010100³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 170354951 + ... + 170355150.

It is an arithmetic number, because the mean of its divisors is an integer number (4107449563).

Almost surely, 2^34071010100 is an apocalyptic number.

It is an amenable number.

34071010100 is an abundant number, since it is smaller than the sum of its proper divisors (39863082034).

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

34071010100 is a wasteful number, since it uses less digits than its factorization.

34071010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340710115 (or 340710108 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

Adding to 34071010100 its reverse (101017043), we get a palindrome (34172027143).

The spelling of 34071010100 in words is "thirty-four billion, seventy-one million, ten thousand, one hundred".