10204416 has 108 divisors (see below), whose sum is σ = 30398368. Its totient is φ = 3290112.

The previous prime is 10204409. The next prime is 10204427. The reversal of 10204416 is 61440201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99021 + ... + 99123.

Almost surely, 2^10204416 is an apocalyptic number.

10204416 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 10204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15199184).

10204416 is an abundant number, since it is smaller than the sum of its proper divisors (20193952).

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

10204416 is a wasteful number, since it uses less digits than its factorization.

10204416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10204416 is about 3194.4351613392. The cubic root of 10204416 is about 216.9015813688.

Adding to 10204416 its reverse (61440201), we get a palindrome (71644617).

The spelling of 10204416 in words is "ten million, two hundred four thousand, four hundred sixteen".