103893120 has 192 divisors, whose sum is σ = 380217240. Its totient is φ = 26050560.

The previous prime is 103893073. The next prime is 103893143. The reversal of 103893120 is 21398301.

It can be written as a sum of positive squares in 4 ways, for example, as 98247744 + 5645376 = 9912^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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, 97390 + ... + 98450.

Almost surely, 2^103893120 is an apocalyptic number.

103893120 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 103893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190108620).

103893120 is an abundant number, since it is smaller than the sum of its proper divisors (276324120).

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

103893120 is a wasteful number, since it uses less digits than its factorization.

103893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 103893120 is about 10192.7974570282. The cubic root of 103893120 is about 470.1057857553.

The spelling of 103893120 in words is "one hundred three million, eight hundred ninety-three thousand, one hundred twenty".