109600 has 36 divisors (see below), whose sum is σ = 269514. Its totient is φ = 43520.

The previous prime is 109597. The next prime is 109609. The reversal of 109600 is 6901.

It can be written as a sum of positive squares in 3 ways, for example, as 85264 + 24336 = 292^2 + 156^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (109609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 732 + ... + 868.

2¹⁰⁹⁶⁰⁰ is an apocalyptic number.

109600 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 109600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134757).

109600 is an abundant number, since it is smaller than the sum of its proper divisors (159914).

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

109600 is a wasteful number, since it uses less digits than its factorization.

109600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 109600 is about 331.0589071449. The cubic root of 109600 is about 47.8560502143.

The spelling of 109600 in words is "one hundred nine thousand, six hundred".