106207284 has 48 divisors (see below), whose sum is σ = 261918720. Its totient is φ = 33427680.

The previous prime is 106207273. The next prime is 106207289. The reversal of 106207284 is 482702601.

It is a super-2 number, since 2×106207284² = 22559974349313312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106207289) 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 15 ways as a sum of consecutive naturals, for example, 19369 + ... + 24239.

It is an arithmetic number, because the mean of its divisors is an integer number (5456640).

Almost surely, 2^106207284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106207284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130959360).

106207284 is an abundant number, since it is smaller than the sum of its proper divisors (155711436).

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

106207284 is a wasteful number, since it uses less digits than its factorization.

106207284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 106207284 is about 10305.6918253944. The cubic root of 106207284 is about 473.5706379125.

Adding to 106207284 its reverse (482702601), we get a palindrome (588909885).

It can be divided in two parts, 106207 and 284, that added together give a triangular number (106491 = T₄₆₁).

The spelling of 106207284 in words is "one hundred six million, two hundred seven thousand, two hundred eighty-four".