103382160 has 240 divisors, whose sum is σ = 381672000. Its totient is φ = 23073792.

The previous prime is 103382159. The next prime is 103382203. The reversal of 103382160 is 61283301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×103382160³ (a number of 25 digits) contains 333 as substring.

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 103382160.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693766 + ... + 693914.

It is an arithmetic number, because the mean of its divisors is an integer number (1590300).

Almost surely, 2^103382160 is an apocalyptic number.

103382160 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 103382160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190836000).

103382160 is an abundant number, since it is smaller than the sum of its proper divisors (278289840).

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

103382160 is a wasteful number, since it uses less digits than its factorization.

103382160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 103382160 is about 10167.7018052262. The cubic root of 103382160 is about 469.3338382039. Note that the first 3 decimals are identical.

The spelling of 103382160 in words is "one hundred three million, three hundred eighty-two thousand, one hundred sixty".