103714416 has 120 divisors (see below), whose sum is σ = 331072560. Its totient is φ = 30025728.

The previous prime is 103714361. The next prime is 103714427. The reversal of 103714416 is 614417301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 103714416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30195 + ... + 33453.

It is an arithmetic number, because the mean of its divisors is an integer number (2758938).

Almost surely, 2^103714416 is an apocalyptic number.

103714416 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 103714416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165536280).

103714416 is an abundant number, since it is smaller than the sum of its proper divisors (227358144).

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

103714416 is a wasteful number, since it uses less digits than its factorization.

103714416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 103714416 is about 10184.0274940713. The cubic root of 103714416 is about 469.8360919323.

The spelling of 103714416 in words is "one hundred three million, seven hundred fourteen thousand, four hundred sixteen".