109908006624 has 384 divisors, whose sum is σ = 352066176000. Its totient is φ = 33154873344.

The previous prime is 109908006623. The next prime is 109908006653. The reversal of 109908006624 is 426600809901.

It is a happy number.

109908006624 is a `hidden beast` number, since 10 + 9 + 9 + 0 + 8 + 0 + 0 + 6 + 624 = 666.

It is a super-2 number, since 2×109908006624² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 109908006624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109908006623) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 130998397 + ... + 130999235.

It is an arithmetic number, because the mean of its divisors is an integer number (916839000).

Almost surely, 2^109908006624 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 109908006624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176033088000).

109908006624 is an abundant number, since it is smaller than the sum of its proper divisors (242158169376).

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

109908006624 is a wasteful number, since it uses less digits than its factorization.

109908006624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 109908006624 in words is "one hundred nine billion, nine hundred eight million, six thousand, six hundred twenty-four".