109030571152272 has 960 divisors, whose sum is σ = 398920380794880. Its totient is φ = 27904867752960.

The previous prime is 109030571152259. The next prime is 109030571152343. The reversal of 109030571152272 is 272251175030901.

109030571152272 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 3 + 0 + 57 + 1 + 1 + 522 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12056898183 + ... + 12056907225.

It is an arithmetic number, because the mean of its divisors is an integer number (415542063328).

Almost surely, 2^{109030571152272} is an apocalyptic number.

109030571152272 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 109030571152272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199460190397440).

109030571152272 is an abundant number, since it is smaller than the sum of its proper divisors (289889809642608).

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

109030571152272 is a wasteful number, since it uses less digits than its factorization.

109030571152272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9569 (or 9546 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 109030571152272 in words is "one hundred nine trillion, thirty billion, five hundred seventy-one million, one hundred fifty-two thousand, two hundred seventy-two".