106820928 has 84 divisors (see below), whose sum is σ = 324223380. Its totient is φ = 33509376.

The previous prime is 106820921. The next prime is 106821017. The reversal of 106820928 is 829028601.

It can be written as a sum of positive squares in 2 ways, for example, as 54287424 + 52533504 = 7368^2 + 7248^2 .

It is a super-2 number, since 2×106820928² = 22821421317562368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106820892 and 106820901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106820921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4338 + ... + 15246.

Almost surely, 2^106820928 is an apocalyptic number.

106820928 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 106820928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162111690).

106820928 is an abundant number, since it is smaller than the sum of its proper divisors (217402452).

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

106820928 is a wasteful number, since it uses less digits than its factorization.

106820928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10944 (or 10931 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 106820928 is about 10335.4210364165. The cubic root of 106820928 is about 474.4809517696.

The spelling of 106820928 in words is "one hundred six million, eight hundred twenty thousand, nine hundred twenty-eight".