109713600 has 252 divisors, whose sum is σ = 411495240. Its totient is φ = 27648000.

The previous prime is 109713589. The next prime is 109713601. The reversal of 109713600 is 6317901.

It is not an unprimeable number, because it can be changed into a prime (109713601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273400 + ... + 273800.

Almost surely, 2^109713600 is an apocalyptic number.

109713600 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 109713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205747620).

109713600 is an abundant number, since it is smaller than the sum of its proper divisors (301781640).

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

109713600 is a wasteful number, since it uses less digits than its factorization.

109713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 109713600 is about 10474.4259985930. The cubic root of 109713600 is about 478.7257871213.

The spelling of 109713600 in words is "one hundred nine million, seven hundred thirteen thousand, six hundred".