103725160 has 192 divisors, whose sum is σ = 314694720. Its totient is φ = 30320640.

The previous prime is 103725151. The next prime is 103725173. The reversal of 103725160 is 61527301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366379 + ... + 366661.

It is an arithmetic number, because the mean of its divisors is an integer number (1639035).

Almost surely, 2^103725160 is an apocalyptic number.

103725160 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 103725160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157347360).

103725160 is an abundant number, since it is smaller than the sum of its proper divisors (210969560).

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

103725160 is a wasteful number, since it uses less digits than its factorization.

103725160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 103725160 is about 10184.5549730953. The cubic root of 103725160 is about 469.8523151501.

The spelling of 103725160 in words is "one hundred three million, seven hundred twenty-five thousand, one hundred sixty".