103155360 has 192 divisors, whose sum is σ = 405264384. Its totient is φ = 21427200.

The previous prime is 103155359. The next prime is 103155379. The reversal of 103155360 is 63551301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103155360.

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, 35565 + ... + 38355.

It is an arithmetic number, because the mean of its divisors is an integer number (2110752).

Almost surely, 2^103155360 is an apocalyptic number.

103155360 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 103155360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202632192).

103155360 is an abundant number, since it is smaller than the sum of its proper divisors (302109024).

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

103155360 is a wasteful number, since it uses less digits than its factorization.

103155360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 103155360 is about 10156.5427188586. The cubic root of 103155360 is about 468.9903784000.

The spelling of 103155360 in words is "one hundred three million, one hundred fifty-five thousand, three hundred sixty".