109908436936608 has 960 divisors, whose sum is σ = 358158309949440. Its totient is φ = 32943129753600.

The previous prime is 109908436936561. The next prime is 109908436936673. The reversal of 109908436936608 is 806639634809901.

109908436936608 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 0 + 8 + 4 + 3 + 6 + 9 + 3 + 6 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70499317333 + ... + 70499318891.

It is an arithmetic number, because the mean of its divisors is an integer number (373081572864).

Almost surely, 2^{109908436936608} is an apocalyptic number.

109908436936608 is a gapful number since it is divisible by the number (18) 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 109908436936608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179079154974720).

109908436936608 is an abundant number, since it is smaller than the sum of its proper divisors (248249873012832).

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

109908436936608 is a wasteful number, since it uses less digits than its factorization.

109908436936608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 109908436936608 in words is "one hundred nine trillion, nine hundred eight billion, four hundred thirty-six million, nine hundred thirty-six thousand, six hundred eight".