107159034194160 has 320 divisors, whose sum is σ = 364812422510592. Its totient is φ = 25861688229888.

The previous prime is 107159034194143. The next prime is 107159034194183. The reversal of 107159034194160 is 61491430951701.

It is a super-2 number, since 2×107159034194160² (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 63 ways as a sum of consecutive naturals, for example, 30727897 + ... + 34037063.

Almost surely, 2^{107159034194160} is an apocalyptic number.

107159034194160 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 107159034194160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182406211255296).

107159034194160 is an abundant number, since it is smaller than the sum of its proper divisors (257653388316432).

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

107159034194160 is a wasteful number, since it uses less digits than its factorization.

107159034194160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309400 (or 3309394 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 107159034194160 in words is "one hundred seven trillion, one hundred fifty-nine billion, thirty-four million, one hundred ninety-four thousand, one hundred sixty".