109708095739968 has 224 divisors, whose sum is σ = 352006393288320. Its totient is φ = 33229308395520.

The previous prime is 109708095739861. The next prime is 109708095739999. The reversal of 109708095739968 is 869937590807901.

109708095739968 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 0 + 80 + 95 + 7 + 399 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39269680 + ... + 41970512.

Almost surely, 2^{109708095739968} is an apocalyptic number.

109708095739968 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 109708095739968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176003196644160).

109708095739968 is an abundant number, since it is smaller than the sum of its proper divisors (242298297548352).

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

109708095739968 is a wasteful number, since it uses less digits than its factorization.

109708095739968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703002 (or 2702986 counting only the distinct ones).

The product of its (nonzero) digits is 1851776640, while the sum is 81.

The spelling of 109708095739968 in words is "one hundred nine trillion, seven hundred eight billion, ninety-five million, seven hundred thirty-nine thousand, nine hundred sixty-eight".