105521020 has 48 divisors (see below), whose sum is σ = 242712288. Its totient is φ = 38216960.

The previous prime is 105520999. The next prime is 105521027. The reversal of 105521020 is 20125501.

It is a super-2 number, since 2×105521020² = 22269371323680800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105520985 and 105521003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105521027) 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, 63642 + ... + 65278.

It is an arithmetic number, because the mean of its divisors is an integer number (5056506).

Almost surely, 2^105521020 is an apocalyptic number.

105521020 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 105521020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121356144).

105521020 is an abundant number, since it is smaller than the sum of its proper divisors (137191268).

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

105521020 is a wasteful number, since it uses less digits than its factorization.

105521020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 105521020 is about 10272.3424787144. The cubic root of 105521020 is about 472.5484324625.

Adding to 105521020 its reverse (20125501), we get a palindrome (125646521).

It can be divided in two parts, 105 and 521020, that added together give a palindrome (521125).

The spelling of 105521020 in words is "one hundred five million, five hundred twenty-one thousand, twenty".