105122316 has 48 divisors (see below), whose sum is σ = 267902208. Its totient is φ = 31886400.

The previous prime is 105122309. The next prime is 105122317. The reversal of 105122316 is 613221501.

It is a super-2 number, since 2×105122316² = 22101402642407712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105122292 and 105122301.

It is not an unprimeable number, because it can be changed into a prime (105122317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6331 + ... + 15821.

It is an arithmetic number, because the mean of its divisors is an integer number (5581296).

Almost surely, 2^105122316 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 105122316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133951104).

105122316 is an abundant number, since it is smaller than the sum of its proper divisors (162779892).

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

105122316 is a wasteful number, since it uses less digits than its factorization.

105122316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9582 (or 9580 counting only the distinct ones).

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

The square root of 105122316 is about 10252.9174384660. The cubic root of 105122316 is about 471.9525172478.

Adding to 105122316 its reverse (613221501), we get a palindrome (718343817).

The spelling of 105122316 in words is "one hundred five million, one hundred twenty-two thousand, three hundred sixteen".