109243713600 has 1008 divisors, whose sum is σ = 482827632768. Its totient is φ = 22852730880.

The previous prime is 109243713587. The next prime is 109243713629. The reversal of 109243713600 is 6317342901.

109243713600 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 4 + 37 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×109243713600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63402339 + ... + 63404061.

Almost surely, 2^109243713600 is an apocalyptic number.

109243713600 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 109243713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241413816384).

109243713600 is an abundant number, since it is smaller than the sum of its proper divisors (373583919168).

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

109243713600 is a wasteful number, since it uses less digits than its factorization.

109243713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 109243713600 in words is "one hundred nine billion, two hundred forty-three million, seven hundred thirteen thousand, six hundred".