10204116 has 48 divisors (see below), whose sum is σ = 25872000. Its totient is φ = 3111552.

The previous prime is 10204099. The next prime is 10204133. The reversal of 10204116 is 61140201.

It is an interprime number because it is at equal distance from previous prime (10204099) and next prime (10204133).

It is a junction number, because it is equal to n+sod(n) for n = 10204095 and 10204104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23025 + ... + 23463.

It is an arithmetic number, because the mean of its divisors is an integer number (539000).

Almost surely, 2^10204116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936000).

10204116 is an abundant number, since it is smaller than the sum of its proper divisors (15667884).

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

10204116 is a wasteful number, since it uses less digits than its factorization.

10204116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10204116 is about 3194.3882043358. The cubic root of 10204116 is about 216.8994557821.

Adding to 10204116 its reverse (61140201), we get a palindrome (71344317).

The spelling of 10204116 in words is "ten million, two hundred four thousand, one hundred sixteen".