34106112 has 108 divisors (see below), whose sum is σ = 99963864. Its totient is φ = 11182080.

The previous prime is 34106089. The next prime is 34106113. The reversal of 34106112 is 21160143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34106113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260287 + ... + 260417.

Almost surely, 2^34106112 is an apocalyptic number.

34106112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49981932).

34106112 is an abundant number, since it is smaller than the sum of its proper divisors (65857752).

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

34106112 is a wasteful number, since it uses less digits than its factorization.

34106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 34106112 is about 5840.0438354519. The cubic root of 34106112 is about 324.2978513888.

Adding to 34106112 its reverse (21160143), we get a palindrome (55266255).

The spelling of 34106112 in words is "thirty-four million, one hundred six thousand, one hundred twelve".