109417185072 has 160 divisors (see below), whose sum is σ = 338813314560. Its totient is φ = 33608459520.

The previous prime is 109417185067. The next prime is 109417185079. The reversal of 109417185072 is 270581714901.

It is a happy number.

109417185072 is a `hidden beast` number, since 109 + 417 + 18 + 50 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (109417185079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3279997 + ... + 3313187.

It is an arithmetic number, because the mean of its divisors is an integer number (2117583216).

Almost surely, 2^109417185072 is an apocalyptic number.

109417185072 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 109417185072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169406657280).

109417185072 is an abundant number, since it is smaller than the sum of its proper divisors (229396129488).

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

109417185072 is a wasteful number, since it uses less digits than its factorization.

109417185072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33808 (or 33796 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

Adding to 109417185072 its reverse (270581714901), we get a palindrome (379998899973).

The spelling of 109417185072 in words is "one hundred nine billion, four hundred seventeen million, one hundred eighty-five thousand, seventy-two".