105521220 has 144 divisors (see below), whose sum is σ = 370581120. Its totient is φ = 23804928.

The previous prime is 105521209. The next prime is 105521233. The reversal of 105521220 is 22125501.

It is a super-2 number, since 2×105521220² = 22269455740576800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105521193 and 105521202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104076 + ... + 105084.

It is an arithmetic number, because the mean of its divisors is an integer number (2573480).

Almost surely, 2^105521220 is an apocalyptic number.

105521220 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 105521220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185290560).

105521220 is an abundant number, since it is smaller than the sum of its proper divisors (265059900).

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

105521220 is a wasteful number, since it uses less digits than its factorization.

105521220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105521220 is about 10272.3522135877. The cubic root of 105521220 is about 472.5487310116.

Adding to 105521220 its reverse (22125501), we get a palindrome (127646721).

The spelling of 105521220 in words is "one hundred five million, five hundred twenty-one thousand, two hundred twenty".