103766416 has 40 divisors (see below), whose sum is σ = 217414904. Its totient is φ = 47692800.

The previous prime is 103766413. The next prime is 103766461. The reversal of 103766416 is 614667301.

It can be written as a sum of positive squares in 4 ways, for example, as 3686400 + 100080016 = 1920^2 + 10004^2 .

It is not an unprimeable number, because it can be changed into a prime (103766413) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56716 + ... + 58516.

Almost surely, 2^103766416 is an apocalyptic number.

103766416 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 103766416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108707452).

103766416 is an abundant number, since it is smaller than the sum of its proper divisors (113648488).

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

103766416 is a wasteful number, since it uses less digits than its factorization.

103766416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 103766416 is about 10186.5801916050. The cubic root of 103766416 is about 469.9146004487.

The spelling of 103766416 in words is "one hundred three million, seven hundred sixty-six thousand, four hundred sixteen".