103755560 has 64 divisors (see below), whose sum is σ = 240926400. Its totient is φ = 40190976.

The previous prime is 103755551. The next prime is 103755569. The reversal of 103755560 is 65557301.

It is an interprime number because it is at equal distance from previous prime (103755551) and next prime (103755569).

It is not an unprimeable number, because it can be changed into a prime (103755569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307712 + ... + 308048.

It is an arithmetic number, because the mean of its divisors is an integer number (3764475).

Almost surely, 2^103755560 is an apocalyptic number.

103755560 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 103755560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120463200).

103755560 is an abundant number, since it is smaller than the sum of its proper divisors (137170840).

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

103755560 is a wasteful number, since it uses less digits than its factorization.

103755560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 32.

The square root of 103755560 is about 10186.0473197409. The cubic root of 103755560 is about 469.8982124528.

The spelling of 103755560 in words is "one hundred three million, seven hundred fifty-five thousand, five hundred sixty".