106750224 has 225 divisors, whose sum is σ = 368389461. Its totient is φ = 29756160.

The previous prime is 106750213. The next prime is 106750253. The reversal of 106750224 is 422057601.

The square root of 106750224 is 10332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5143824 + 101606400 = 2268^2 + 10080^2 .

It is a super-2 number, since 2×106750224² = 22791220648100352, which contains 22 as substring.

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

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 44 ways as a sum of consecutive naturals, for example, 2603644 + ... + 2603684.

Almost surely, 2^106750224 is an apocalyptic number.

106750224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106750224 is the 10332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106750224

106750224 is an abundant number, since it is smaller than the sum of its proper divisors (261639237).

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

106750224 is an equidigital number, since it uses as much as digits as its factorization.

106750224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The cubic root of 106750224 is about 474.3762434937.

The spelling of 106750224 in words is "one hundred six million, seven hundred fifty thousand, two hundred twenty-four".