109029118605120 has 672 divisors, whose sum is σ = 437874099526656. Its totient is φ = 24381407232000.

The previous prime is 109029118605049. The next prime is 109029118605149. The reversal of 109029118605120 is 21506811920901.

109029118605120 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 2 + 9 + 1 + 18 + 605 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2653982980 + ... + 2654024060.

Almost surely, 2^{109029118605120} is an apocalyptic number.

109029118605120 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 109029118605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218937049763328).

109029118605120 is an abundant number, since it is smaller than the sum of its proper divisors (328844980921536).

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

109029118605120 is a wasteful number, since it uses less digits than its factorization.

109029118605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43959 (or 43946 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 109029118605120 in words is "one hundred nine trillion, twenty-nine billion, one hundred eighteen million, six hundred five thousand, one hundred twenty".