105550521120 has 768 divisors, whose sum is σ = 419849256960. Its totient is φ = 24534835200.

The previous prime is 105550521107. The next prime is 105550521137. The reversal of 105550521120 is 21125055501.

105550521120 is a `hidden beast` number, since 10 + 5 + 5 + 5 + 0 + 521 + 120 = 666.

It is a super-2 number, since 2×105550521120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 201817179 + ... + 201817701.

It is an arithmetic number, because the mean of its divisors is an integer number (546678720).

Almost surely, 2^105550521120 is an apocalyptic number.

105550521120 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 105550521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209924628480).

105550521120 is an abundant number, since it is smaller than the sum of its proper divisors (314298735840).

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

105550521120 is a wasteful number, since it uses less digits than its factorization.

105550521120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

Adding to 105550521120 its reverse (21125055501), we get a palindrome (126675576621).

The spelling of 105550521120 in words is "one hundred five billion, five hundred fifty million, five hundred twenty-one thousand, one hundred twenty".