109467993600 has 1440 divisors, whose sum is σ = 481266339840. Its totient is φ = 23224320000.

The previous prime is 109467993581. The next prime is 109467993601. The reversal of 109467993600 is 6399764901.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109467993601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 724953525 + ... + 724953675.

It is an arithmetic number, because the mean of its divisors is an integer number (334212736).

Almost surely, 2^109467993600 is an apocalyptic number.

109467993600 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 109467993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240633169920).

109467993600 is an abundant number, since it is smaller than the sum of its proper divisors (371798346240).

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

109467993600 is a wasteful number, since it uses less digits than its factorization.

109467993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 109467993600 in words is "one hundred nine billion, four hundred sixty-seven million, nine hundred ninety-three thousand, six hundred".