103055360 has 128 divisors (see below), whose sum is σ = 268955640. Its totient is φ = 37748736.

The previous prime is 103055353. The next prime is 103055369. The reversal of 103055360 is 63550301.

It can be written as a sum of positive squares in 4 ways, for example, as 102252544 + 802816 = 10112^2 + 896^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103055369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2785262 + ... + 2785298.

Almost surely, 2^103055360 is an apocalyptic number.

103055360 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 103055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134477820).

103055360 is an abundant number, since it is smaller than the sum of its proper divisors (165900280).

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

103055360 is an frugal number, since it uses more digits than its factorization.

103055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 103055360 is about 10151.6185901560. The cubic root of 103055360 is about 468.8387811690.

The spelling of 103055360 in words is "one hundred three million, fifty-five thousand, three hundred sixty".