10616112 has 120 divisors (see below), whose sum is σ = 32904144. Its totient is φ = 3174912.

The previous prime is 10616093. The next prime is 10616129. The reversal of 10616112 is 21161601.

10616112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10616112² = 225403667993088, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 99163 + ... + 99269.

Almost surely, 2^10616112 is an apocalyptic number.

10616112 is a gapful number since it is divisible by the number (12) 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 10616112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452072).

10616112 is an abundant number, since it is smaller than the sum of its proper divisors (22288032).

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

10616112 is a wasteful number, since it uses less digits than its factorization.

10616112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10616112 is about 3258.2375603998. The cubic root of 10616112 is about 219.7801660801.

Adding to 10616112 its reverse (21161601), we get a palindrome (31777713).

The spelling of 10616112 in words is "ten million, six hundred sixteen thousand, one hundred twelve".