34910106 has 128 divisors (see below), whose sum is σ = 94832640. Its totient is φ = 8294400.

The previous prime is 34910101. The next prime is 34910119. The reversal of 34910106 is 60101943.

34910106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (34910101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 359850 + ... + 359946.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 2^34910106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34910106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47416320).

34910106 is an abundant number, since it is smaller than the sum of its proper divisors (59922534).

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

34910106 is a wasteful number, since it uses less digits than its factorization.

34910106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 34910106 is about 5908.4774688578. The cubic root of 34910106 is about 326.8263440283.

The spelling of 34910106 in words is "thirty-four million, nine hundred ten thousand, one hundred six".