109803680 has 192 divisors, whose sum is σ = 322237440. Its totient is φ = 34504704.

The previous prime is 109803667. The next prime is 109803713. The reversal of 109803680 is 86308901.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 109803680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1389881 + ... + 1389959.

It is an arithmetic number, because the mean of its divisors is an integer number (1678320).

Almost surely, 2^109803680 is an apocalyptic number.

109803680 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 109803680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161118720).

109803680 is an abundant number, since it is smaller than the sum of its proper divisors (212433760).

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

109803680 is a wasteful number, since it uses less digits than its factorization.

109803680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 109803680 is about 10478.7251132950. The cubic root of 109803680 is about 478.8567700384.

The spelling of 109803680 in words is "one hundred nine million, eight hundred three thousand, six hundred eighty".