109701291168 has 960 divisors, whose sum is σ = 401288380416. Its totient is φ = 28740096000.

The previous prime is 109701291151. The next prime is 109701291179. The reversal of 109701291168 is 861192107901.

It is a happy number.

109701291168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 159 ways as a sum of consecutive naturals, for example, 1545088573 + ... + 1545088643.

Almost surely, 2^109701291168 is an apocalyptic number.

109701291168 is a gapful number since it is divisible by the number (18) 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 109701291168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200644190208).

109701291168 is an abundant number, since it is smaller than the sum of its proper divisors (291587089248).

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

109701291168 is a wasteful number, since it uses less digits than its factorization.

109701291168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 109701291168 in words is "one hundred nine billion, seven hundred one million, two hundred ninety-one thousand, one hundred sixty-eight".