10294416 has 120 divisors (see below), whose sum is σ = 32227104. Its totient is φ = 3041280.

The previous prime is 10294393. The next prime is 10294423. The reversal of 10294416 is 61449201.

It is a self number, because there is not a number n which added to its sum of digits gives 10294416.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106080 + ... + 106176.

Almost surely, 2^10294416 is an apocalyptic number.

10294416 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 10294416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16113552).

10294416 is an abundant number, since it is smaller than the sum of its proper divisors (21932688).

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

10294416 is a wasteful number, since it uses less digits than its factorization.

10294416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10294416 is about 3208.4912342096. The cubic root of 10294416 is about 217.5373855672.

It can be divided in two parts, 1029 and 4416, that added together give a palindrome (5445).

The spelling of 10294416 in words is "ten million, two hundred ninety-four thousand, four hundred sixteen".