107778560 has 40 divisors (see below), whose sum is σ = 258422076. Its totient is φ = 43110400.

The previous prime is 107778557. The next prime is 107778563. The reversal of 107778560 is 65877701.

It is an interprime number because it is at equal distance from previous prime (107778557) and next prime (107778563).

It can be written as a sum of positive squares in 2 ways, for example, as 107163904 + 614656 = 10352^2 + 784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (107778563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18491 + ... + 23610.

Almost surely, 2^107778560 is an apocalyptic number.

107778560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107778560 is an abundant number, since it is smaller than the sum of its proper divisors (150643516).

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

107778560 is an frugal number, since it uses more digits than its factorization.

107778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42124 (or 42108 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 41.

The square root of 107778560 is about 10381.6453416595. The cubic root of 107778560 is about 475.8946168796.

The spelling of 107778560 in words is "one hundred seven million, seven hundred seventy-eight thousand, five hundred sixty".