106225152 has 80 divisors (see below), whose sum is σ = 308765952. Its totient is φ = 32184320.

The previous prime is 106225121. The next prime is 106225153. The reversal of 106225152 is 251522601.

It is a happy number.

It is a super-2 number, since 2×106225152² = 22567565834846208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106225153) 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 7 ways as a sum of consecutive naturals, for example, 13753 + ... + 20039.

Almost surely, 2^106225152 is an apocalyptic number.

106225152 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 106225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154382976).

106225152 is an abundant number, since it is smaller than the sum of its proper divisors (202540800).

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

106225152 is an equidigital number, since it uses as much as digits as its factorization.

106225152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6319 (or 6303 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 106225152 is about 10306.5586885245. The cubic root of 106225152 is about 473.5971937988.

Adding to 106225152 its reverse (251522601), we get a palindrome (357747753).

The spelling of 106225152 in words is "one hundred six million, two hundred twenty-five thousand, one hundred fifty-two".