105356030024 has 128 divisors (see below), whose sum is σ = 232776910080. Its totient is φ = 43777843200.

The previous prime is 105356030023. The next prime is 105356030033. The reversal of 105356030024 is 420030653501.

It is a super-2 number, since 2×105356030024² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105356030023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60513794 + ... + 60515534.

It is an arithmetic number, because the mean of its divisors is an integer number (1818569610).

Almost surely, 2^105356030024 is an apocalyptic number.

105356030024 is a gapful number since it is divisible by the number (14) 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 105356030024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116388455040).

105356030024 is an abundant number, since it is smaller than the sum of its proper divisors (127420880056).

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

105356030024 is a wasteful number, since it uses less digits than its factorization.

105356030024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 105356030024 its reverse (420030653501), we get a palindrome (525386683525).

The spelling of 105356030024 in words is "one hundred five billion, three hundred fifty-six million, thirty thousand, twenty-four".