105430624275456 has 1540 divisors, whose sum is σ = 357383771839800. Its totient is φ = 30983334395904.

The previous prime is 105430624275419. The next prime is 105430624275463. The reversal of 105430624275456 is 654572426034501.

It is a happy number.

105430624275456 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 3 + 0 + 624 + 2 + 7 + 5 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×105430624275456² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1184613755860 + ... + 1184613755948.

Almost surely, 2^{105430624275456} is an apocalyptic number.

105430624275456 is a gapful number since it is divisible by the number (16) 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 105430624275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178691885919900).

105430624275456 is an abundant number, since it is smaller than the sum of its proper divisors (251953147564344).

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

105430624275456 is an frugal number, since it uses more digits than its factorization.

105430624275456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 105430624275456 in words is "one hundred five trillion, four hundred thirty billion, six hundred twenty-four million, two hundred seventy-five thousand, four hundred fifty-six".