109217961600 has 384 divisors, whose sum is σ = 403060898880. Its totient is φ = 25760563200.

The previous prime is 109217961557. The next prime is 109217961647. The reversal of 109217961600 is 6169712901.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3893224 + ... + 3921176.

Almost surely, 2^109217961600 is an apocalyptic number.

109217961600 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 109217961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201530449440).

109217961600 is an abundant number, since it is smaller than the sum of its proper divisors (293842937280).

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

109217961600 is a wasteful number, since it uses less digits than its factorization.

109217961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28028 (or 28011 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The spelling of 109217961600 in words is "one hundred nine billion, two hundred seventeen million, nine hundred sixty-one thousand, six hundred".