106285320 has 48 divisors (see below), whose sum is σ = 345428460. Its totient is φ = 28342656.

The previous prime is 106285307. The next prime is 106285321. The reversal of 106285320 is 23582601.

106285320 is a `hidden beast` number, since 1 + 0 + 628 + 5 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98366724 + 7918596 = 9918^2 + 2814^2 .

It is a super-2 number, since 2×106285320² = 22593138495004800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106285321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147259 + ... + 147978.

Almost surely, 2^106285320 is an apocalyptic number.

106285320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106285320 is an abundant number, since it is smaller than the sum of its proper divisors (239143140).

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

106285320 is a wasteful number, since it uses less digits than its factorization.

106285320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295254 (or 295247 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106285320 is about 10309.4771933401. The cubic root of 106285320 is about 473.6865951537.

The spelling of 106285320 in words is "one hundred six million, two hundred eighty-five thousand, three hundred twenty".