105131223324 has 96 divisors (see below), whose sum is σ = 275254056000. Its totient is φ = 34698129408.

The previous prime is 105131223289. The next prime is 105131223343. The reversal of 105131223324 is 423322131501.

105131223324 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 312 + 23 + 324 = 666.

It is a super-2 number, since 2×105131223324² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26755792 + ... + 26759720.

It is an arithmetic number, because the mean of its divisors is an integer number (2867229750).

Almost surely, 2^105131223324 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 105131223324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137627028000).

105131223324 is an abundant number, since it is smaller than the sum of its proper divisors (170122832676).

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

105131223324 is a wasteful number, since it uses less digits than its factorization.

105131223324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6324 (or 6316 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 105131223324 its reverse (423322131501), we get a palindrome (528453354825).

It can be divided in two parts, 105131 and 223324, that added together give a triangular number (328455 = T₈₁₀).

The spelling of 105131223324 in words is "one hundred five billion, one hundred thirty-one million, two hundred twenty-three thousand, three hundred twenty-four".