103829016 has 64 divisors (see below), whose sum is σ = 268531200. Its totient is φ = 33435008.

The previous prime is 103829003. The next prime is 103829017. The reversal of 103829016 is 610928301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103829017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93070 + ... + 94178.

It is an arithmetic number, because the mean of its divisors is an integer number (4195800).

Almost surely, 2^103829016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103829016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134265600).

103829016 is an abundant number, since it is smaller than the sum of its proper divisors (164702184).

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

103829016 is a wasteful number, since it uses less digits than its factorization.

103829016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 103829016 is about 10189.6523983893. The cubic root of 103829016 is about 470.0090778388.

The spelling of 103829016 in words is "one hundred three million, eight hundred twenty-nine thousand, sixteen".