103353360 has 120 divisors (see below), whose sum is σ = 352269120. Its totient is φ = 25048320.

The previous prime is 103353323. The next prime is 103353389. The reversal of 103353360 is 63353301.

It is a tau number, because it is divible by the number of its divisors (120).

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 103353360.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27261 + ... + 30819.

It is an arithmetic number, because the mean of its divisors is an integer number (2935576).

Almost surely, 2^103353360 is an apocalyptic number.

103353360 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 103353360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176134560).

103353360 is an abundant number, since it is smaller than the sum of its proper divisors (248915760).

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

103353360 is a wasteful number, since it uses less digits than its factorization.

103353360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 24.

The square root of 103353360 is about 10166.2854573340. The cubic root of 103353360 is about 469.2902521220.

It can be divided in two parts, 10335 and 3360, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 103353360 in words is "one hundred three million, three hundred fifty-three thousand, three hundred sixty".