103827360 has 192 divisors, whose sum is σ = 402700032. Its totient is φ = 21897216.

The previous prime is 103827331. The next prime is 103827377. The reversal of 103827360 is 63728301.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 42492 + ... + 44868.

It is an arithmetic number, because the mean of its divisors is an integer number (2097396).

Almost surely, 2^103827360 is an apocalyptic number.

103827360 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 103827360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201350016).

103827360 is an abundant number, since it is smaller than the sum of its proper divisors (298872672).

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

103827360 is a wasteful number, since it uses less digits than its factorization.

103827360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 103827360 is about 10189.5711391599. The cubic root of 103827360 is about 470.0065790538.

The spelling of 103827360 in words is "one hundred three million, eight hundred twenty-seven thousand, three hundred sixty".