105322120 has 16 divisors (see below), whose sum is σ = 236974860. Its totient is φ = 42128832.

The previous prime is 105322117. The next prime is 105322121. The reversal of 105322120 is 21223501.

It can be written as a sum of positive squares in 2 ways, for example, as 99082116 + 6240004 = 9954^2 + 2498^2 .

It is a super-2 number, since 2×105322120² = 22185497922588800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105322094 and 105322103.

It is not an unprimeable number, because it can be changed into a prime (105322121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1316487 + ... + 1316566.

Almost surely, 2^105322120 is an apocalyptic number.

105322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105322120 is an abundant number, since it is smaller than the sum of its proper divisors (131652740).

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

105322120 is a wasteful number, since it uses less digits than its factorization.

105322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633064 (or 2633060 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 105322120 is about 10262.6565761503. The cubic root of 105322120 is about 472.2513384175.

Adding to 105322120 its reverse (21223501), we get a palindrome (126545621).

The spelling of 105322120 in words is "one hundred five million, three hundred twenty-two thousand, one hundred twenty".