109420531200 has 720 divisors, whose sum is σ = 415923352416. Its totient is φ = 27412070400.

The previous prime is 109420531193. The next prime is 109420531201. The reversal of 109420531200 is 2135024901.

109420531200 is a `hidden beast` number, since 1 + 0 + 9 + 420 + 5 + 31 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109420531201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161625262 + ... + 161625938.

Almost surely, 2^109420531200 is an apocalyptic number.

109420531200 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 109420531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207961676208).

109420531200 is an abundant number, since it is smaller than the sum of its proper divisors (306502821216).

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

109420531200 is a wasteful number, since it uses less digits than its factorization.

109420531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 109420531200 in words is "one hundred nine billion, four hundred twenty million, five hundred thirty-one thousand, two hundred".