106163028 has 96 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 32647680.

The previous prime is 106163021. The next prime is 106163033. The reversal of 106163028 is 820361601.

106163028 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 630 + 28 = 666.

It is a super-2 number, since 2×106163028² = 22541177028257568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106162992 and 106163010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106163021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96763 + ... + 97853.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^106163028 is an apocalyptic number.

106163028 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 106163028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

106163028 is an abundant number, since it is smaller than the sum of its proper divisors (191035692).

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

106163028 is a wasteful number, since it uses less digits than its factorization.

106163028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106163028 is about 10303.5444386871. The cubic root of 106163028 is about 473.5048506673.

The spelling of 106163028 in words is "one hundred six million, one hundred sixty-three thousand, twenty-eight".