107391706560 has 168 divisors, whose sum is σ = 370748454336. Its totient is φ = 28531906560.

The previous prime is 107391706549. The next prime is 107391706561. The reversal of 107391706560 is 65607193701.

107391706560 is a `hidden beast` number, since 1 + 0 + 73 + 9 + 17 + 0 + 6 + 560 = 666.

107391706560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×107391706560⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107391706561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711682 + ... + 849278.

Almost surely, 2^107391706560 is an apocalyptic number.

107391706560 is a gapful number since it is divisible by the number (10) 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 107391706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185374227168).

107391706560 is an abundant number, since it is smaller than the sum of its proper divisors (263356747776).

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

107391706560 is a wasteful number, since it uses less digits than its factorization.

107391706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137891 (or 137878 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 107391706560 in words is "one hundred seven billion, three hundred ninety-one million, seven hundred six thousand, five hundred sixty".