109812160224 has 432 divisors, whose sum is σ = 351359648640. Its totient is φ = 32493726720.

The previous prime is 109812160223. The next prime is 109812160301. The reversal of 109812160224 is 422061218901.

109812160224 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 1 + 21 + 602 + 24 = 666.

It is a super-2 number, since 2×109812160224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109812160223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148595247 + ... + 148595985.

It is an arithmetic number, because the mean of its divisors is an integer number (813332520).

Almost surely, 2^109812160224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109812160224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175679824320).

109812160224 is an abundant number, since it is smaller than the sum of its proper divisors (241547488416).

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

109812160224 is a wasteful number, since it uses less digits than its factorization.

109812160224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 109812160224 in words is "one hundred nine billion, eight hundred twelve million, one hundred sixty thousand, two hundred twenty-four".