105501130224 has 40 divisors (see below), whose sum is σ = 311479528320. Its totient is φ = 30143179968.

The previous prime is 105501130223. The next prime is 105501130307. The reversal of 105501130224 is 422031105501.

It is a happy number.

It is a super-2 number, since 2×105501130224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105501130194 and 105501130203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105501130223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156995394 + ... + 156996065.

It is an arithmetic number, because the mean of its divisors is an integer number (7786988208).

Almost surely, 2^105501130224 is an apocalyptic number.

105501130224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105501130224 is an abundant number, since it is smaller than the sum of its proper divisors (205978398096).

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

105501130224 is a wasteful number, since it uses less digits than its factorization.

105501130224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313991477 (or 313991471 counting only the distinct ones).

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

Adding to 105501130224 its reverse (422031105501), we get a palindrome (527532235725).

The spelling of 105501130224 in words is "one hundred five billion, five hundred one million, one hundred thirty thousand, two hundred twenty-four".