105411231224 has 96 divisors (see below), whose sum is σ = 216612649440. Its totient is φ = 48065472000.

The previous prime is 105411231223. The next prime is 105411231251. The reversal of 105411231224 is 422132114501.

It is a happy number.

It is a super-2 number, since 2×105411231224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 105411231193 and 105411231202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105411231223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40216634 + ... + 40219254.

It is an arithmetic number, because the mean of its divisors is an integer number (2256381765).

Almost surely, 2^105411231224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105411231224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108306324720).

105411231224 is an abundant number, since it is smaller than the sum of its proper divisors (111201418216).

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

105411231224 is a wasteful number, since it uses less digits than its factorization.

105411231224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 105411231224 its reverse (422132114501), we get a palindrome (527543345725).

The spelling of 105411231224 in words is "one hundred five billion, four hundred eleven million, two hundred thirty-one thousand, two hundred twenty-four".