109225600 has 192 divisors, whose sum is σ = 307346400. Its totient is φ = 37990400.

The previous prime is 109225553. The next prime is 109225601. The reversal of 109225600 is 6522901.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (109225601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020747 + ... + 1020853.

Almost surely, 2^109225600 is an apocalyptic number.

109225600 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 109225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153673200).

109225600 is an abundant number, since it is smaller than the sum of its proper divisors (198120800).

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

109225600 is a wasteful number, since it uses less digits than its factorization.

109225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 109225600 is about 10451.1052047140. The cubic root of 109225600 is about 478.0149502511.

The spelling of 109225600 in words is "one hundred nine million, two hundred twenty-five thousand, six hundred".