107069320656 has 120 divisors (see below), whose sum is σ = 304510007880. Its totient is φ = 35114999808.

The previous prime is 107069320649. The next prime is 107069320681. The reversal of 107069320656 is 656023960701.

It can be written as a sum of positive squares in 4 ways, for example, as 1173747600 + 105895573056 = 34260^2 + 325416^2 .

It is a super-2 number, since 2×107069320656² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2205250 + ... + 2253278.

It is an arithmetic number, because the mean of its divisors is an integer number (2537583399).

Almost surely, 2^107069320656 is an apocalyptic number.

107069320656 is a gapful number since it is divisible by the number (16) 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 107069320656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152255003940).

107069320656 is an abundant number, since it is smaller than the sum of its proper divisors (197440687224).

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

107069320656 is a wasteful number, since it uses less digits than its factorization.

107069320656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48293 (or 48284 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 107069320656 in words is "one hundred seven billion, sixty-nine million, three hundred twenty thousand, six hundred fifty-six".