105022120 has 96 divisors (see below), whose sum is σ = 285292800. Its totient is φ = 34079616.

The previous prime is 105022109. The next prime is 105022121. The reversal of 105022120 is 21220501.

It is a super-2 number, since 2×105022120² = 22059291378588800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105022120.

It is not an unprimeable number, because it can be changed into a prime (105022121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100561 + ... + 101599.

It is an arithmetic number, because the mean of its divisors is an integer number (2971800).

Almost surely, 2^105022120 is an apocalyptic number.

105022120 is a gapful number since it is divisible by the number (10) 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 105022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142646400).

105022120 is an abundant number, since it is smaller than the sum of its proper divisors (180270680).

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

105022120 is a wasteful number, since it uses less digits than its factorization.

105022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105022120 is about 10248.0300546007. The cubic root of 105022120 is about 471.8025244011.

Adding to 105022120 its reverse (21220501), we get a palindrome (126242621).

The spelling of 105022120 in words is "one hundred five million, twenty-two thousand, one hundred twenty".