103552560 has 160 divisors (see below), whose sum is σ = 359976960. Its totient is φ = 27360000.

The previous prime is 103552549. The next prime is 103552571. The reversal of 103552560 is 65255301.

103552560 is a `hidden beast` number, since 103 + 552 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103552549) and next prime (103552571).

It is a super-3 number, since 3×103552560³ (a number of 25 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 412435 + ... + 412685.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2^103552560 is an apocalyptic number.

103552560 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 103552560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

103552560 is an abundant number, since it is smaller than the sum of its proper divisors (256424400).

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

103552560 is a wasteful number, since it uses less digits than its factorization.

103552560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 103552560 is about 10176.0778298910. The cubic root of 103552560 is about 469.5915570303.

The spelling of 103552560 in words is "one hundred three million, five hundred fifty-two thousand, five hundred sixty".