106296228 has 36 divisors (see below), whose sum is σ = 269762220. Its totient is φ = 35291136.

The previous prime is 106296199. The next prime is 106296233. The reversal of 106296228 is 822692601.

It is a happy number.

106296228 is a `hidden beast` number, since 1 + 0 + 6 + 29 + 622 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72284004 + 34012224 = 8502^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106296228² = 22597776174055968, 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 = 106296192 and 106296201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3508 + ... + 14996.

It is an arithmetic number, because the mean of its divisors is an integer number (7493395).

Almost surely, 2^106296228 is an apocalyptic number.

106296228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106296228 is an abundant number, since it is smaller than the sum of its proper divisors (163465992).

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

106296228 is a wasteful number, since it uses less digits than its factorization.

106296228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11756 (or 11751 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106296228 is about 10310.0062075636. The cubic root of 106296228 is about 473.7027993251.

The spelling of 106296228 in words is "one hundred six million, two hundred ninety-six thousand, two hundred twenty-eight".