105430145545530 has 224 divisors, whose sum is σ = 311441517248400. Its totient is φ = 25526591216640.

The previous prime is 105430145545513. The next prime is 105430145545531. The reversal of 105430145545530 is 35545541034501.

It is a happy number.

105430145545530 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 3 + 0 + 1 + 45 + 54 + 553 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2437748246241 + 102992397299289 = 1561329^2 + 10148517^2 .

It is a super-2 number, since 2×105430145545530² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (105430145545531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3337755 + ... + 14899694.

Almost surely, 2^{105430145545530} is an apocalyptic number.

105430145545530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105430145545530 is an abundant number, since it is smaller than the sum of its proper divisors (206011371702870).

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

105430145545530 is a wasteful number, since it uses less digits than its factorization.

105430145545530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18237548 (or 18237533 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 105430145545530 in words is "one hundred five trillion, four hundred thirty billion, one hundred forty-five million, five hundred forty-five thousand, five hundred thirty".