109997564800 has 96 divisors (see below), whose sum is σ = 274419545400. Its totient is φ = 43563264000.

The previous prime is 109997564773. The next prime is 109997564921. The reversal of 109997564800 is 8465799901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153031 + ... + 493369.

Almost surely, 2^109997564800 is an apocalyptic number.

109997564800 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 109997564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137209772700).

109997564800 is an abundant number, since it is smaller than the sum of its proper divisors (164421980600).

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

109997564800 is a wasteful number, since it uses less digits than its factorization.

109997564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340464 (or 340447 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 58.

The spelling of 109997564800 in words is "one hundred nine billion, nine hundred ninety-seven million, five hundred sixty-four thousand, eight hundred".