106225600 has 84 divisors (see below), whose sum is σ = 281542744. Its totient is φ = 39214080.

The previous prime is 106225589. The next prime is 106225643. The reversal of 106225600 is 6522601.

It is a super-2 number, since 2×106225600² = 22567756190720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18247 + ... + 23353.

Almost surely, 2^106225600 is an apocalyptic number.

106225600 is a gapful number since it is divisible by the number (10) 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 106225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140771372).

106225600 is an abundant number, since it is smaller than the sum of its proper divisors (175317144).

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

106225600 is a wasteful number, since it uses less digits than its factorization.

106225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 106225600 is about 10306.5804222351. The cubic root of 106225600 is about 473.5978595898.

It can be divided in two parts, 1062 and 25600, that added together give a palindrome (26662).

The spelling of 106225600 in words is "one hundred six million, two hundred twenty-five thousand, six hundred".