109398211609600 has 99 divisors (see below), whose sum is σ = 271179238705941. Its totient is φ = 43758615244800.

The previous prime is 109398211609541. The next prime is 109398211609637. The reversal of 109398211609600 is 6906112893901.

The square root of 109398211609600 is 10459360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39383356179456 + 70014855430144 = 6275616^2 + 8367488^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 1673464915 + ... + 1673530285.

Almost surely, 2^{109398211609600} is an apocalyptic number.

109398211609600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109398211609600 is the 10459360-th square number.

It is an amenable number.

109398211609600 is an abundant number, since it is smaller than the sum of its proper divisors (161781027096341).

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

109398211609600 is an frugal number, since it uses more digits than its factorization.

109398211609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130772 (or 65378 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 55.

The spelling of 109398211609600 in words is "one hundred nine trillion, three hundred ninety-eight billion, two hundred eleven million, six hundred nine thousand, six hundred".