105521000 has 64 divisors (see below), whose sum is σ = 265945680. Its totient is φ = 38956800.

The previous prime is 105520999. The next prime is 105521027. The reversal of 105521000 is 125501.

It can be written as a sum of positive squares in 8 ways, for example, as 5080516 + 100440484 = 2254^2 + 10022^2 .

It is a super-2 number, since 2×105521000² = 22269362882000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8942 + ... + 17058.

Almost surely, 2^105521000 is an apocalyptic number.

105521000 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 105521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132972840).

105521000 is an abundant number, since it is smaller than the sum of its proper divisors (160424680).

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

105521000 is a wasteful number, since it uses less digits than its factorization.

105521000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8151 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 105521000 is about 10272.3415052265. The cubic root of 105521000 is about 472.5484026075.

Adding to 105521000 its reverse (125501), we get a palindrome (105646501).

The spelling of 105521000 in words is "one hundred five million, five hundred twenty-one thousand".