107161140000000 has 2304 divisors, whose sum is σ = 403944465899520. Its totient is φ = 25090560000000.

The previous prime is 107161139999989. The next prime is 107161140000029. The reversal of 107161140000000 is 41161701.

It is a super-2 number, since 2×107161140000000² (a number of 29 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 (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1599419999967 + ... + 1599420000033.

It is an arithmetic number, because the mean of its divisors is an integer number (175323118880).

Almost surely, 2^{107161140000000} is an apocalyptic number.

107161140000000 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 107161140000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201972232949760).

107161140000000 is an abundant number, since it is smaller than the sum of its proper divisors (296783325899520).

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

107161140000000 is an frugal number, since it uses more digits than its factorization.

107161140000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

Adding to 107161140000000 its reverse (41161701), we get a palindrome (107161181161701).

The spelling of 107161140000000 in words is "one hundred seven trillion, one hundred sixty-one billion, one hundred forty million", and thus it is an aban number.