10202416 has 40 divisors (see below), whose sum is σ = 22927104. Its totient is φ = 4307520.

The previous prime is 10202393. The next prime is 10202419. The reversal of 10202416 is 61420201.

10202416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 10202416.

It is not an unprimeable number, because it can be changed into a prime (10202419) 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, 7311 + ... + 8593.

Almost surely, 2^10202416 is an apocalyptic number.

10202416 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 10202416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463552).

10202416 is an abundant number, since it is smaller than the sum of its proper divisors (12724688).

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

10202416 is a wasteful number, since it uses less digits than its factorization.

10202416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10202416 is about 3194.1221016110. The cubic root of 10202416 is about 216.8874100039.

Adding to 10202416 its reverse (61420201), we get a palindrome (71622617).

The spelling of 10202416 in words is "ten million, two hundred two thousand, four hundred sixteen".