106801128 has 144 divisors (see below), whose sum is σ = 349483680. Its totient is φ = 28859328.

The previous prime is 106801099. The next prime is 106801139. The reversal of 106801128 is 821108601.

It is a super-2 number, since 2×106801128² = 22812961884144768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181651 + ... + 182237.

It is an arithmetic number, because the mean of its divisors is an integer number (2426970).

Almost surely, 2^106801128 is an apocalyptic number.

106801128 is a gapful number since it is divisible by the number (18) 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 106801128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174741840).

106801128 is an abundant number, since it is smaller than the sum of its proper divisors (242682552).

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

106801128 is a wasteful number, since it uses less digits than its factorization.

106801128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 106801128 is about 10334.4631210334. The cubic root of 106801128 is about 474.4516338462.

Adding to 106801128 its reverse (821108601), we get a palindrome (927909729).

It can be divided in two parts, 106801 and 128, that added together give a square (106929 = 327²).

The spelling of 106801128 in words is "one hundred six million, eight hundred one thousand, one hundred twenty-eight".