109134901112832 has 312 divisors, whose sum is σ = 360332001241056. Its totient is φ = 31176416821248.

The previous prime is 109134901112801. The next prime is 109134901112849. The reversal of 109134901112832 is 238211109431901.

109134901112832 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 3 + 490 + 1 + 1 + 128 + 32 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1800370588 + ... + 1800431204.

It is an arithmetic number, because the mean of its divisors is an integer number (1154910260388).

Almost surely, 2^{109134901112832} is an apocalyptic number.

109134901112832 is a gapful number since it is divisible by the number (12) 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 109134901112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180166000620528).

109134901112832 is an abundant number, since it is smaller than the sum of its proper divisors (251197100128224).

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

109134901112832 is an equidigital number, since it uses as much as digits as its factorization.

109134901112832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67631 (or 67606 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 109134901112832 in words is "one hundred nine trillion, one hundred thirty-four billion, nine hundred one million, one hundred twelve thousand, eight hundred thirty-two".