105520052320 has 96 divisors (see below), whose sum is σ = 254651294016. Its totient is φ = 41309184000.

The previous prime is 105520052311. The next prime is 105520052329. The reversal of 105520052320 is 23250025501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105520052311) and next prime (105520052329).

It is a super-2 number, since 2×105520052320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105520052329) 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, 1522420 + ... + 1590220.

It is an arithmetic number, because the mean of its divisors is an integer number (2652617646).

Almost surely, 2^105520052320 is an apocalyptic number.

105520052320 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 105520052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127325647008).

105520052320 is an abundant number, since it is smaller than the sum of its proper divisors (149131241696).

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

105520052320 is a wasteful number, since it uses less digits than its factorization.

105520052320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68024 (or 68016 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 105520052320 its reverse (23250025501), we get a palindrome (128770077821).

The spelling of 105520052320 in words is "one hundred five billion, five hundred twenty million, fifty-two thousand, three hundred twenty".