107868160 has 104 divisors (see below), whose sum is σ = 271285920. Its totient is φ = 41091072.

The previous prime is 107868157. The next prime is 107868161. The reversal of 107868160 is 61868701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107868161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470926 + ... + 471154.

Almost surely, 2^107868160 is an apocalyptic number.

107868160 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 107868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135642960).

107868160 is an abundant number, since it is smaller than the sum of its proper divisors (163417760).

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

107868160 is an equidigital number, since it uses as much as digits as its factorization.

107868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 107868160 is about 10385.9597534364. The cubic root of 107868160 is about 476.0264561714.

The spelling of 107868160 in words is "one hundred seven million, eight hundred sixty-eight thousand, one hundred sixty".