10300416 has 88 divisors (see below), whose sum is σ = 31441920. Its totient is φ = 2936832.

The previous prime is 10300369. The next prime is 10300417. The reversal of 10300416 is 61400301.

It is a junction number, because it is equal to n+sod(n) for n = 10300395 and 10300404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300417) 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, 21265 + ... + 21743.

Almost surely, 2^10300416 is an apocalyptic number.

10300416 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 10300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15720960).

10300416 is an abundant number, since it is smaller than the sum of its proper divisors (21141504).

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

10300416 is an equidigital number, since it uses as much as digits as its factorization.

10300416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10300416 is about 3209.4261169250. The cubic root of 10300416 is about 217.5796405404.

Adding to 10300416 its reverse (61400301), we get a palindrome (71700717).

The spelling of 10300416 in words is "ten million, three hundred thousand, four hundred sixteen".