109328134492800 has 384 divisors, whose sum is σ = 400133253672000. Its totient is φ = 29152518819840.

The previous prime is 109328134492763. The next prime is 109328134492823. The reversal of 109328134492800 is 8294431823901.

109328134492800 is a `hidden beast` number, since 1 + 0 + 9 + 328 + 1 + 34 + 4 + 9 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×109328134492800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2733935206 + ... + 2733975194.

Almost surely, 2^{109328134492800} is an apocalyptic number.

109328134492800 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 109328134492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200066626836000).

109328134492800 is an abundant number, since it is smaller than the sum of its proper divisors (290805119179200).

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

109328134492800 is a wasteful number, since it uses less digits than its factorization.

109328134492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71665 (or 71642 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 109328134492800 in words is "one hundred nine trillion, three hundred twenty-eight billion, one hundred thirty-four million, four hundred ninety-two thousand, eight hundred".