1105303206546 has 512 divisors, whose sum is σ = 3262784716800. Its totient is φ = 269007298560.

The previous prime is 1105303206541. The next prime is 1105303206607. The reversal of 1105303206546 is 6456023035011.

1105303206546 is a `hidden beast` number, since 1 + 1 + 0 + 530 + 3 + 20 + 65 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1105303206546.

It is not an unprimeable number, because it can be changed into a prime (1105303206541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 619911171 + ... + 619912953.

It is an arithmetic number, because the mean of its divisors is an integer number (6372626400).

Almost surely, 2^{1105303206546} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105303206546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631392358400).

1105303206546 is an abundant number, since it is smaller than the sum of its proper divisors (2157481510254).

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

1105303206546 is a wasteful number, since it uses less digits than its factorization.

1105303206546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1105303206546 in words is "one trillion, one hundred five billion, three hundred three million, two hundred six thousand, five hundred forty-six".