103382016 has 88 divisors (see below), whose sum is σ = 279931344. Its totient is φ = 33914880.

The previous prime is 103381991. The next prime is 103382017. The reversal of 103382016 is 610283301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103382017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224026 + ... + 224486.

It is an arithmetic number, because the mean of its divisors is an integer number (3181038).

Almost surely, 2^103382016 is an apocalyptic number.

103382016 is a gapful number since it is divisible by the number (16) 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 103382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139965672).

103382016 is an abundant number, since it is smaller than the sum of its proper divisors (176549328).

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

103382016 is an equidigital number, since it uses as much as digits as its factorization.

103382016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 539 counting only the distinct ones).

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

The square root of 103382016 is about 10167.6947239775. The cubic root of 103382016 is about 469.3336202937. Note that the first 3 decimals are identical.

The spelling of 103382016 in words is "one hundred three million, three hundred eighty-two thousand, sixteen".