109132240896 has 288 divisors, whose sum is σ = 373575121920. Its totient is φ = 31179644928.

The previous prime is 109132240883. The next prime is 109132240927. The reversal of 109132240896 is 698042231901.

109132240896 is a `hidden beast` number, since 109 + 132 + 2 + 408 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3467985 + ... + 3499311.

It is an arithmetic number, because the mean of its divisors is an integer number (1297135840).

Almost surely, 2^109132240896 is an apocalyptic number.

109132240896 is a gapful number since it is divisible by the number (16) 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 109132240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186787560960).

109132240896 is an abundant number, since it is smaller than the sum of its proper divisors (264442881024).

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

109132240896 is an frugal number, since it uses more digits than its factorization.

109132240896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31371 (or 31339 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 109132240896 in words is "one hundred nine billion, one hundred thirty-two million, two hundred forty thousand, eight hundred ninety-six".