106838128 has 80 divisors (see below), whose sum is σ = 226610496. Its totient is φ = 48660480.

The previous prime is 106838111. The next prime is 106838131. The reversal of 106838128 is 821838601.

It is a super-2 number, since 2×106838128² = 22828771189088768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1101376 + ... + 1101472.

Almost surely, 2^106838128 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 106838128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113305248).

106838128 is an abundant number, since it is smaller than the sum of its proper divisors (119772368).

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

106838128 is a wasteful number, since it uses less digits than its factorization.

106838128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 106838128 is about 10336.2530928765. The cubic root of 106838128 is about 474.5064169244.

The spelling of 106838128 in words is "one hundred six million, eight hundred thirty-eight thousand, one hundred twenty-eight".