103066560 has 224 divisors, whose sum is σ = 370636800. Its totient is φ = 26956800.

The previous prime is 103066553. The next prime is 103066577. The reversal of 103066560 is 65660301.

103066560 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 6 + 656 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 682485 + ... + 682635.

Almost surely, 2^103066560 is an apocalyptic number.

103066560 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 103066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185318400).

103066560 is an abundant number, since it is smaller than the sum of its proper divisors (267570240).

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

103066560 is a wasteful number, since it uses less digits than its factorization.

103066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 103066560 is about 10152.1702113391. The cubic root of 103066560 is about 468.8557649343.

The spelling of 103066560 in words is "one hundred three million, sixty-six thousand, five hundred sixty".