107617341840 has 160 divisors (see below), whose sum is σ = 345487887360. Its totient is φ = 27692625408.

The previous prime is 107617341827. The next prime is 107617341847. The reversal of 107617341840 is 48143716701.

It is a junction number, because it is equal to n+sod(n) for n = 107617341792 and 107617341801.

It is not an unprimeable number, because it can be changed into a prime (107617341847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793741 + ... + 919379.

It is an arithmetic number, because the mean of its divisors is an integer number (2159299296).

Almost surely, 2^107617341840 is an apocalyptic number.

107617341840 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 107617341840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172743943680).

107617341840 is an abundant number, since it is smaller than the sum of its proper divisors (237870545520).

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

107617341840 is a wasteful number, since it uses less digits than its factorization.

107617341840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125781 (or 125775 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 107617341840 in words is "one hundred seven billion, six hundred seventeen million, three hundred forty-one thousand, eight hundred forty".