103784016 has 80 divisors (see below), whose sum is σ = 307520000. Its totient is φ = 29545344.

The previous prime is 103783993. The next prime is 103784039. The reversal of 103784016 is 610487301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103783993) and next prime (103784039).

It is a super-2 number, since 2×103784016² = 21542243954176512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167355 + ... + 167973.

It is an arithmetic number, because the mean of its divisors is an integer number (3844000).

Almost surely, 2^103784016 is an apocalyptic number.

103784016 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 103784016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153760000).

103784016 is an abundant number, since it is smaller than the sum of its proper divisors (203735984).

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

103784016 is a wasteful number, since it uses less digits than its factorization.

103784016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 103784016 is about 10187.4440366561. Note that the first 3 decimals coincide. The cubic root of 103784016 is about 469.9411666209.

The spelling of 103784016 in words is "one hundred three million, seven hundred eighty-four thousand, sixteen".