105351240324 has 48 divisors (see below), whose sum is σ = 272169305856. Its totient is φ = 31448128800.

The previous prime is 105351240263. The next prime is 105351240329. The reversal of 105351240324 is 423042153501.

It is a super-2 number, since 2×105351240324² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105351240291 and 105351240300.

It is not an unprimeable number, because it can be changed into a prime (105351240329) 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, 5947242 + ... + 5964929.

It is an arithmetic number, because the mean of its divisors is an integer number (5670193872).

Almost surely, 2^105351240324 is an apocalyptic number.

It is an amenable number.

105351240324 is an abundant number, since it is smaller than the sum of its proper divisors (166818065532).

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

105351240324 is a wasteful number, since it uses less digits than its factorization.

105351240324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11912256 (or 11912254 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 105351240324 its reverse (423042153501), we get a palindrome (528393393825).

The spelling of 105351240324 in words is "one hundred five billion, three hundred fifty-one million, two hundred forty thousand, three hundred twenty-four".