107756597168 has 160 divisors (see below), whose sum is σ = 240259979520. Its totient is φ = 46372193280.

The previous prime is 107756597159. The next prime is 107756597233. The reversal of 107756597168 is 861795657701.

It is a Cunningham number, because it is equal to 328263²-1.

It is a super-2 number, since 2×107756597168² (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 107756597168.

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, 97164998 + ... + 97166106.

It is an arithmetic number, because the mean of its divisors is an integer number (1501624872).

Almost surely, 2^107756597168 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 107756597168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120129989760).

107756597168 is an abundant number, since it is smaller than the sum of its proper divisors (132503382352).

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

107756597168 is a wasteful number, since it uses less digits than its factorization.

107756597168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 62.

The spelling of 107756597168 in words is "one hundred seven billion, seven hundred fifty-six million, five hundred ninety-seven thousand, one hundred sixty-eight".