109305504000 has 2304 divisors, whose sum is σ = 528957112320. Its totient is φ = 21565440000.

The previous prime is 109305503971. The next prime is 109305504017. The reversal of 109305504000 is 405503901.

109305504000 is a `hidden beast` number, since 109 + 3 + 0 + 550 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2062367974 + ... + 2062368026.

It is an arithmetic number, because the mean of its divisors is an integer number (229582080).

Almost surely, 2^109305504000 is an apocalyptic number.

109305504000 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 109305504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264478556160).

109305504000 is an abundant number, since it is smaller than the sum of its proper divisors (419651608320).

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

109305504000 is a wasteful number, since it uses less digits than its factorization.

109305504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 109305504000 in words is "one hundred nine billion, three hundred five million, five hundred four thousand".