105012220 has 48 divisors (see below), whose sum is σ = 224532000. Its totient is φ = 41250560.

The previous prime is 105012217. The next prime is 105012223. The reversal of 105012220 is 22210501.

It is an interprime number because it is at equal distance from previous prime (105012217) and next prime (105012223).

It is a super-2 number, since 2×105012220² = 22055132698656800, 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 105012220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105012223) 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, 390246 + ... + 390514.

It is an arithmetic number, because the mean of its divisors is an integer number (4677750).

Almost surely, 2^105012220 is an apocalyptic number.

105012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105012220 is an abundant number, since it is smaller than the sum of its proper divisors (119519780).

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

105012220 is a wasteful number, since it uses less digits than its factorization.

105012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 556 counting only the distinct ones).

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

The square root of 105012220 is about 10247.5470235564. The cubic root of 105012220 is about 471.7876989790.

Adding to 105012220 its reverse (22210501), we get a palindrome (127222721).

It can be divided in two parts, 10501 and 2220, that added together give a palindrome (12721).

The spelling of 105012220 in words is "one hundred five million, twelve thousand, two hundred twenty".