34010105514 has 144 divisors (see below), whose sum is σ = 91697559840. Its totient is φ = 8313930240.

The previous prime is 34010105501. The next prime is 34010105539. The reversal of 34010105514 is 41550101043.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 916432 + ... + 952820.

It is an arithmetic number, because the mean of its divisors is an integer number (636788610).

Almost surely, 2^34010105514 is an apocalyptic number.

34010105514 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34010105514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45848779920).

34010105514 is an abundant number, since it is smaller than the sum of its proper divisors (57687454326).

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

34010105514 is a wasteful number, since it uses less digits than its factorization.

34010105514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36453 (or 36429 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 34010105514 its reverse (41550101043), we get a palindrome (75560206557).

The spelling of 34010105514 in words is "thirty-four billion, ten million, one hundred five thousand, five hundred fourteen".