103686560 has 24 divisors (see below), whose sum is σ = 244959876. Its totient is φ = 41474560.

The previous prime is 103686533. The next prime is 103686589. The reversal of 103686560 is 65686301.

It can be written as a sum of positive squares in 2 ways, for example, as 93624976 + 10061584 = 9676^2 + 3172^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 103686560.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 323861 + ... + 324180.

Almost surely, 2^103686560 is an apocalyptic number.

103686560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103686560 is an abundant number, since it is smaller than the sum of its proper divisors (141273316).

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

103686560 is an equidigital number, since it uses as much as digits as its factorization.

103686560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648056 (or 648048 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 103686560 is about 10182.6597704136. The cubic root of 103686560 is about 469.7940247297.

The spelling of 103686560 in words is "one hundred three million, six hundred eighty-six thousand, five hundred sixty".