107321760 has 540 divisors, whose sum is σ = 477093078. Its totient is φ = 22643712.

The previous prime is 107321729. The next prime is 107321771. The reversal of 107321760 is 67123701.

It can be written as a sum of positive squares in 3 ways, for example, as 46294416 + 61027344 = 6804^2 + 7812^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 8255514 + ... + 8255526.

Almost surely, 2^107321760 is an apocalyptic number.

107321760 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 107321760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238546539).

107321760 is an abundant number, since it is smaller than the sum of its proper divisors (369771318).

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

107321760 is a wasteful number, since it uses less digits than its factorization.

107321760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 107321760 is about 10359.6216147116. The cubic root of 107321760 is about 475.2213335999.

The spelling of 107321760 in words is "one hundred seven million, three hundred twenty-one thousand, seven hundred sixty".