123105216 has 224 divisors, whose sum is σ = 380520448. Its totient is φ = 34836480.

The previous prime is 123105193. The next prime is 123105217. The reversal of 123105216 is 612501321.

It is a junction number, because it is equal to n+sod(n) for n = 123105192 and 123105201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123105217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2862891 + ... + 2862933.

It is an arithmetic number, because the mean of its divisors is an integer number (1698752).

Almost surely, 2^123105216 is an apocalyptic number.

123105216 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 123105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190260224).

123105216 is an abundant number, since it is smaller than the sum of its proper divisors (257415232).

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

123105216 is a wasteful number, since it uses less digits than its factorization.

123105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 123105216 is about 11095.2789960415. The cubic root of 123105216 is about 497.4607475575.

Adding to 123105216 its reverse (612501321), we get a palindrome (735606537).

It can be divided in two parts, 123105 and 216, that added together give a palindrome (123321).

The spelling of 123105216 in words is "one hundred twenty-three million, one hundred five thousand, two hundred sixteen".