105424260480 has 1440 divisors, whose sum is σ = 482793862320. Its totient is φ = 21906339840.

The previous prime is 105424260467. The next prime is 105424260493. The reversal of 105424260480 is 84062424501.

105424260480 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 42 + 604 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105424260467) and next prime (105424260493).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×105424260480² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9584023675 + ... + 9584023685.

Almost surely, 2^105424260480 is an apocalyptic number.

105424260480 is a gapful number since it is divisible by the number (10) 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 105424260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241396931160).

105424260480 is an abundant number, since it is smaller than the sum of its proper divisors (377369601840).

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

105424260480 is an frugal number, since it uses more digits than its factorization.

105424260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 105424260480 its reverse (84062424501), we get a palindrome (189486684981).

The spelling of 105424260480 in words is "one hundred five billion, four hundred twenty-four million, two hundred sixty thousand, four hundred eighty".