105520380 has 96 divisors (see below), whose sum is σ = 339257856. Its totient is φ = 24005376.

The previous prime is 105520367. The next prime is 105520381. The reversal of 105520380 is 83025501.

It is a super-2 number, since 2×105520380² = 22269101190688800, 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 105520380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105520381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115887 + ... + 116793.

It is an arithmetic number, because the mean of its divisors is an integer number (3533936).

Almost surely, 2^105520380 is an apocalyptic number.

105520380 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 105520380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169628928).

105520380 is an abundant number, since it is smaller than the sum of its proper divisors (233737476).

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

105520380 is a wasteful number, since it uses less digits than its factorization.

105520380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105520380 is about 10272.3113270578. The cubic root of 105520380 is about 472.5474771027.

Adding to 105520380 its reverse (83025501), we get a palindrome (188545881).

The spelling of 105520380 in words is "one hundred five million, five hundred twenty thousand, three hundred eighty".