106283232 has 192 divisors, whose sum is σ = 346187520. Its totient is φ = 31449600.

The previous prime is 106283227. The next prime is 106283267. The reversal of 106283232 is 232382601.

106283232 is a `hidden beast` number, since 1 + 0 + 628 + 3 + 2 + 32 = 666.

It is a super-2 number, since 2×106283232² = 22592250808731648, 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 = 106283196 and 106283205.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 503607 + ... + 503817.

It is an arithmetic number, because the mean of its divisors is an integer number (1803060).

Almost surely, 2^106283232 is an apocalyptic number.

106283232 is a gapful number since it is divisible by the number (12) 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 106283232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173093760).

106283232 is an abundant number, since it is smaller than the sum of its proper divisors (239904288).

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

106283232 is a wasteful number, since it uses less digits than its factorization.

106283232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106283232 is about 10309.3759267960. The cubic root of 106283232 is about 473.6834932387.

The spelling of 106283232 in words is "one hundred six million, two hundred eighty-three thousand, two hundred thirty-two".