105123016 has 24 divisors (see below), whose sum is σ = 202056210. Its totient is φ = 51272960.

The previous prime is 105123001. The next prime is 105123017. The reversal of 105123016 is 610321501.

It can be written as a sum of positive squares in 3 ways, for example, as 6200100 + 98922916 = 2490^2 + 9946^2 .

It is a super-2 number, since 2×105123016² = 22101696985872512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105122984 and 105123002.

It is not an unprimeable number, because it can be changed into a prime (105123017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9540 + ... + 17356.

Almost surely, 2^105123016 is an apocalyptic number.

It is an amenable number.

105123016 is a deficient number, since it is larger than the sum of its proper divisors (96933194).

105123016 is an equidigital number, since it uses as much as digits as its factorization.

105123016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7905 (or 7860 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 105123016 is about 10252.9515750344. The cubic root of 105123016 is about 471.9535648085.

Adding to 105123016 its reverse (610321501), we get a palindrome (715444517).

The spelling of 105123016 in words is "one hundred five million, one hundred twenty-three thousand, sixteen".