105145428024 has 480 divisors, whose sum is σ = 383693904000. Its totient is φ = 26267514624.

The previous prime is 105145428019. The next prime is 105145428029. The reversal of 105145428024 is 420824541501.

105145428024 is a `hidden beast` number, since 1 + 0 + 5 + 14 + 542 + 80 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (105145428019) and next prime (105145428029).

It is a super-2 number, since 2×105145428024² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105145428024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105145428029) 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 119 ways as a sum of consecutive naturals, for example, 14561487 + ... + 14568705.

It is an arithmetic number, because the mean of its divisors is an integer number (799362300).

Almost surely, 2^105145428024 is an apocalyptic number.

105145428024 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 105145428024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191846952000).

105145428024 is an abundant number, since it is smaller than the sum of its proper divisors (278548475976).

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

105145428024 is a wasteful number, since it uses less digits than its factorization.

105145428024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7289 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 105145428024 its reverse (420824541501), we get a palindrome (525969969525).

The spelling of 105145428024 in words is "one hundred five billion, one hundred forty-five million, four hundred twenty-eight thousand, twenty-four".