106934128 has 80 divisors (see below), whose sum is σ = 257443840. Its totient is φ = 41990400.

The previous prime is 106934119. The next prime is 106934143. The reversal of 106934128 is 821439601.

It is a super-2 number, since 2×106934128² = 22869815462240768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106934093 and 106934102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65158 + ... + 66778.

It is an arithmetic number, because the mean of its divisors is an integer number (3218048).

Almost surely, 2^106934128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106934128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128721920).

106934128 is an abundant number, since it is smaller than the sum of its proper divisors (150509712).

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

106934128 is a wasteful number, since it uses less digits than its factorization.

106934128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 106934128 is about 10340.8958992923. The cubic root of 106934128 is about 474.6484978457.

The spelling of 106934128 in words is "one hundred six million, nine hundred thirty-four thousand, one hundred twenty-eight".